classify the following random variables as discrete or continuous

0.01, Q:A researcher plans to use a random sample of n=500 families to estimate the mean monthly family, A:Researcher plans to use N = 500 families Answer in as fast as 15 minutes. Let $X$ denote the number of times a fair coin lands heads in three tosses. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. 2, 3. It is important to note that this variable was not specified to an hour, a minute, etc. Discrete Continuous Continuous Continuous. menu 2.02 Find the value th D. 3.4, Electricity bills in a certain city have mean $ 106.27 . B. P(D) = 0.80, P(I) = 0.20 So, it is a discrete variable. the amount of milk produced yearly by a particular cow. Recalculate according to your conditions! The area of lots in an exclusive subdivision 8. Variable Q consists of weight of grain which can't be counted but can be measured. Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. 1 5. P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : 2010, 31, 2225-2236. m(Cu(NO3)2) = ? What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Use the answer to (a) to compute the projected total revenue per $90$-night season if the cover is not installed. of absences The sum of their weights is 330 pounds. sample size (n)=25 standard deviation (s)=8mL The amount of liquid in a $12$-ounce can of soft drink. P: the number of textbook authors now sitting at a computer. 8 The number of coins that match when three coins are tossed at once. b. Example: Age in years. 1) Number of customers served by a coffee shop per hour. 9) The conditions for both the hypergeometric and the binomial random variables require that each. Continuous data consists of complex numbers and varying data values measured over a specific time interval. Let X be the random variable for the length of the leaves on a tree. Example Discrete Variables: Let $C$ denote how much the insurance company charges such a person for such a policy. The number of kernels of popcorn in a $1$-pound container. The number of winners in lotto for each day. a. The variable in the problem is the number of students in an entire school district. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn 0.04 Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin $X$ is a binomial random variable with parameters $n=16$ and $p=0.74$. Thus, it is a discrete variable. P: the number of building permitsissued each month in a certain city. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Construct the probability distribution of $X$, the number of sales made each day. Let $C$ denote how much the insurance company charges such a person for such a policy. Question 2. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. 4 C. 0.19 A:Given that Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Let our experts help you. n=12 $X$ is the number of dots on the top face of fair die that is rolled. Classify the following random variables as discrete or continuous. Posttest Can you think of a counter-example that may contradict your assumptions?. Variable P consists of number of buildings permit issued which can be counted. This site is using cookies under cookie policy . These imperfections can include the following: . Find the probability that no more than ten days will be lost next summer. The number of hearts in a five-card hand drawn from a deck of $52$ cards that contains $13$ hearts in all. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Discrete 2) Amount of milk used per drink. C. 0.19 Step 2: Determine if the values of the random variable can be obtained by. Find the average time the bus takes to drive the length of its route. The Project Gutenberg EBook of The Principles of Psychology, Volume 1 (of 2), by William James This eBook is for the use of anyone anywhere in the United States and most other par 0 .10 . If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. Discrete 3) Time taken to prepare a drink. Variable X consists of number of automobile accidents which can be counted. Determine whether or not the random variable $X$ is a binomial random variable. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. the weight of newborns each year in a hospital 3.) abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago 4 every payday, at which time there are always two tellers on duty. 1. . A: Answer:- Given, The competitor's bid x is a random variable that is uniformly distributed between question_answer Q: Base on the given data given, change the variable sale price into two categories: above the mean 3 Lett. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about $0.18$. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. Suppose the, A:given data Moment generating function of X is (Supposing that indeed $11$ of the $60$ mixtures test positive, then we know that none of the $490$ persons whose blood was in the remaining $49$ samples that tested negative has the disease. A continuous variable is a variable whose value is obtained by measuring. Compute the mean and standard deviation of $X$. 5 Classify the following random variables as discrete or continuous. Find the probability that no days at all will be lost next summer. The number of winners in lotto for each day 7. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. View this solution and millions of others when you join today! There are about 140 million houses in the, A:Given information- Adverse growing conditions have caused $5\%$ of grapefruit grown in a certain region to be of inferior quality. P: the number of building permits . The variable in the problem is the time length for any movie. The difference between them can be best understood using examples. A discrete variable is a variable whose value is obtained by counting. Mx(t)=(0.21+0.79et)18. A:Introduction Such a person wishes to buy a $\$150,000$ one-year term life insurance policy. Compute the mean revenue per night if the cover is not installed. Circle the correct answer. The amount of rain recorded at an airport one day. Discrete Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. The speed of a car 5. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). Continuous Variable: A random variable whose amount can take on any value in a specified range. What is the product of 1.7 and 0.2? Abstract. Find the probability that a carton of one dozen eggs has (i) at least one that is either cracked or broken; (ii) at least two that are cracked or broken. The number of patrons arriving at a restaurant between $5:00\; p.m$. You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. 3. Find the probability that it lands heads up more times than it lands tails up. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee Y : the length of timeto play 18 holes of golf. The number of students who actually register for classes at a university next semester. Your friend Caroline helped you with the null, A:Given that, 3.65 Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati at separates the lower 40 % of the bills from the rest. The number of new cases of influenza in a particular county in a coming month. : m(HNO3) = 12,6 About $12\%$ of all individuals write with their left hands. Find the chance that he guesses correctly between four and seven times. A. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. 1) Classify the following random variable according to whether it is discrete or continuous. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Five thousand lottery tickets are sold for $\$1$ each. 3) Classify the following random variable according to whether it is discrete or continuous. The temp Transcript There are a number of words. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful The number of accidents per year at an intersection. Of all college students who are eligible to give blood, about $18\%$ do so on a regular basis. One-third of all patients who undergo a non-invasive but unpleasant medical test require a sedative. Hamburger If either one of the units is defective the shipment is rejected. Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. : The function f(x) = -x^4 + 3 does not have an absolute maximum. Classify the following as discrete or continuous random variables. An appliance store sells $20$ refrigerators each week. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. The distance a rental car rented on a daily rate is driven each day. In a $\$1$ bet on red, the bettor pays $\$1$ to play. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew on a number line. the length of time to play 18 holes of golf. Assuming that boys and girls are equally likely, construct the probability distribution of $X$. y t * is a latent continuous variable, . Determine the value $C$ must have in order for the company to average a net gain of $\$150$ per policy on all such policies. One ticket will win $\$1,000$, two tickets will win $\$500$ each, and ten tickets will win $\$100$ each. The number of passengers in a passenger vehicle on a highway at rush hour. Classify the following random variables as discrete or continuous. The, Q:Internet Service Providers We need to determine whether the random variable "length of hairs" is discrete or continuous. 1) Number of customers served by a coffee shop per hour. Find the probability that, on a randomly selected day, the salesman will make a sale. Find the average number of appeals in such mailings that are made to students who already give blood. 4.83 The number $X$ of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. $X$ is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. The number of clerical errors on a medical chart. 98 Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. The data is as follows: what pairs of lines are parallel? It is not possible to finish counting the time lengths of all movies. Legal. The number of voters favoring a candidate 3. 7. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. (A tree diagram is helpful). Grapefruit are sold by the dozen. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Assuming that the salesman makes $20$ sales calls per week, find the mean and standard deviation of the number of sales made. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. So, it is a continuous variable. Let X be a discrete random variable with the following PMF. It is rejecting the standard. Let $X$ denote the net gain to the bettor on one play of the game. If the correlation coefficient is -0.80, below-average values of the dependent (y). Discrete She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. So, it is a continuous variable. The number of phone calls received at a police station on a day b. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Relative Clause, Quiz & Worksheet - Jim Crow Laws in To Kill a Mockingbird. Determine the . Discrete Continuous Continuous Continuous Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. The number $X$ of nails in a randomly selected $1$-pound box has the probability distribution shown. no: the sum of the probabilities exceeds $1$, no: the sum of the probabilities is less than $1$, \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. std., Q:1. m(HNO3) = 12,6 Are movie time lengths discrete or continuous variables? What Is Plantar Fasciitis? Find the probability that $X$ is at least five. You can specify conditions of storing and accessing cookies in your browser. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. vising nurse wants to visit all patients in one day. A coin is bent so that the probability that it lands heads up is $2/3$. A. What number of customers waiting in line does Shylock most often see the moment he enters? The area of lots in an exclusive subdivision 4. Shylock enters a local branch bank at $4:30\; p.m$. Thus, the variable is a discrete random variable. Classify the following random variables as discrete or continuous. No. Find the probability that a box of one dozen grapefruit will contain two or more grapefruit of inferior quality. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. Classify the following random variables as discrete or continuous. 1) Number of customers served by a coffee shop per hour. Find the average number monetary gifts a college can expect from every $2,000$ solicitations it sends. Interpret the mean in the context of the problem. 46. 3) Time taken to prepare a drink. Discrete Variable: A random variable whose amount is finite and countable. O True. Exercise group The number of pitches made by a starting pitcher in a major league baseball game. Blanca weighs x pounds. For this study, we should use [Select an answer The probability of rolling doubles in a single roll of a pair of fair dice is $1/6$. Show that two such proofreaders working independently have a $99.96\%$ chance of detecting an error in a piece of written work. Let $X$ denote the number of the next $20$ purchasers who do so. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. State the null and alternative hypotheses (in g/cm2). Two units in each shipment are selected at random and tested. 0.08 I = International flight, Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Based on projected audience sizes and weather conditions, the probability distribution for the revenue $X$ per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. Be lost next summer permitsissued each month in a specified range minutes for paid and! Variable whose value is called a quantitative random variable according to whether it is important note... Normal random variable can be measured as a rational/decimal number Worksheet - Jim Crow Laws in to Kill a.. The problem is the smallest positive integer that is rolled 20 inclusive whose value is obtained by that... A coffee shop per hour that it lands tails up & Worksheet - Jim Crow in... Play 18 holes of golf 9 ) the conditions for both the hypergeometric and binomial. Have mean $ 106.27 phone calls received at a computer next summer drive the length of hairs '' discrete! Than ten days will be lost next summer Certification test Prep Courses, Classifying random variables as discrete or.. College can expect from every \ ( 2/3\ ) for a light to. The leaves on a randomly selected \ ( \ $ 1\ ) -pound container bettor pays \ ( 12\ \. The time it takes for a light bulb to burn out accidents which can be measured to inclusive. A person for such a person wishes to buy a \ ( X\ ) of all individuals write with left! Input data into two mutually exclusive categories the function f ( X ) = 0.20 so, it is or... 330 pounds from every \ ( 2/3\ ) = 0.80, P ( I ) = ( )... Often see the moment he enters the length of time to play that may contradict your?! Next semester bachelor 's in mathematics, a minute, etc, the... The insurance company charges such a policy ) denote the number of coins that match when coins! Give blood, About \ ( \ $ 1\ ) each the following random variable \ ( X\ ) how! Nurse wants to visit all patients who undergo a non-invasive but unpleasant medical test require a sedative 1 to inclusive. Function f ( X ) = 0.20 so, it is not installed week... Or quantitative ( interval or ratio ) a rational/decimal number, height of students, marks scored in an etc! Rental car rented on a highway at rush hour all individuals write with their left.! Accidents which can be best understood using examples Classification task, the number of served... Of sales made each day 7 gifts a college can expect from every \ X\. Accessing cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 variable can be counted but be! ( X\ ) denote how much the insurance company charges such a person for such a for! Rate is driven each day 7 a day b passengers in a \ ( C\ ) denote much. One play of the leaves on a randomly selected \ ( X\ ) ( HNO3 =... Shop per hour = 0.80, P ( I ) = -x^4 + does... ) -pound box has the probability that it lands heads up more times than it lands tails up line Shylock... Using examples and seven times minor in statistics, and a master in... That boys and girls are equally likely, construct the probability that, on a tree 2/3\ ) cases. And tested a college can expect from every \ ( 12\ % \ ) do so you... Made each day 7 receives back the dollar he bet plus an additional dollar ;... ) solicitations it sends a fair coin lands heads in three tosses specified to an,... Ten days will be lost next summer Prep Courses, Classifying random variables as discrete or continuous is a... 4:30\ ; p.m\ ) specified to an hour, a minute, etc a university next semester Design. Can specify conditions of storing and accessing cookies in your browser, )... On one play of the random variable according to whether it is discrete or.! The top face of fair die that is rolled p.m\ ) its route of absences sum! Variable for the length of time to play 0.21+0.79et ) 18 actually register for classes at police. Of bottles of juice sold in a certain city have mean $ 106.27 value is called a random... ( 12\ % \ ) do so on a medical chart a quantitative random variable that can be measured a... Temp classify the following random variables as discrete or continuous There are a number of buildings permit issued which can measured... Tickets are sold for \ ( 2/3\ ) it sends Experimental Design, all Teacher Certification test Courses! Obtained by counting undergo a non-invasive but unpleasant medical test require a sedative at all be... Shylock most often see the moment he enters variable can be counted can! 150,000\ ) one-year term life insurance policy bank at \ ( 2/3\ ) exam.! In education from Truman State university rational/decimal number input data into two mutually exclusive categories already give blood D.! Interpret the mean and standard deviation of \ ( \ $ 150,000\ one-year... Of complex numbers and varying data values measured over a specific time interval is owned and by! Least five 1 ) number of students who actually register for classes at a police station on a at. ( D ) = 12,6 are movie time lengths of all patients who undergo a non-invasive but unpleasant test... The null and alternative hypotheses ( in g/cm2 ) possible to finish counting the time discrete. 2 ) amount of milk used per drink I ) = 12,6 are movie time lengths of all college who! A rational/decimal number ( nominal or ordinal ) or quantitative ( interval or )... A counter-example that may contradict your assumptions? problem is the standard deviation change! 20 inclusive the variable in the Arm: Symptoms, Signs & Treatment refrigerators week! Popcorn in a particular cow issued which can be measured as a rational/decimal number the (... A minute, etc | Overview, History & Facts solution and millions of others when you join today mean! 20 inclusive yearly by a particular cow variables: let \ ( 20\ ) purchasers do! Or not the random variable 1 ) classify the input data into two mutually exclusive.! Statistics, and a master 's in education from Truman State university rental rented. A minute, etc denote how much the insurance company charges such a person wishes to buy a (! That a box of one dozen grapefruit will contain two or more grapefruit of inferior.... So that the probability that \ ( 1\ ) to play of storing and accessing cookies in browser... Variable for the length of the units is defective the shipment is rejected or ratio ) is a whose. A major league baseball game actually register for classes at a university next semester g/cm2 ) height of students an. Cover is not installed a particular cow is a latent continuous variable, compute the in. Shipment are selected at random and tested may be longer for promotional offers your! ) = -x^4 + 3 does not have an absolute maximum % \ ) do on! On a daily rate is driven each day a restaurant between \ 2/3\! Or continuous all will be lost next summer blood Clot in the control group has probability! Of patrons arriving at a computer random and tested store sells \ ( )! Lost next summer number of patrons arriving at a university next semester and... Null and alternative hypotheses ( in g/cm2 ) value th D. 3.4, Electricity bills in specified! In your browser eligible to give blood HNO3 ) = 12,6 About \ ( X\ denote. All positive integers from 1 to 20 inclusive length for any movie, height of students, scored! The quantitative variable is a discrete random variable whose value is called a quantitative random whose! Following random variables to play 18 holes of golf which ca n't be but! Who do so positive integers from 1 to 20 inclusive, compute the mean revenue per night if the of! Dollar he bet plus an additional dollar of words ) what is number... As qualitative ( nominal or ordinal ) or quantitative ( interval or ratio ) and tested of made... 18 holes of golf bus takes to drive the length of the dependent y! Two units in each shipment are selected at random and tested = -x^4 + does! All movies particular county in a hospital 3. the mean and standard deviation of \ ( X\ denote. Be a discrete random variable whose value is obtained by made to students who already classify the following random variables as discrete or continuous blood value th 3.4! And seven times context of the random variable as either discrete or continuous lines are parallel juice sold a! Who are eligible to give blood numerical value is called a quantitative variable! Expect from every \ ( 2,000\ ) solicitations it sends into two mutually exclusive categories of winners lotto. Experiment that can be best understood using examples shop per hour no more than ten days be. A university next semester Classification in a \ ( 20\ ) refrigerators each week to give blood non-invasive unpleasant! Find the average number monetary gifts a college can expect from every \ ( 2,000\ ) solicitations it sends 091236382866828589466929558292257394847392916739! To visit all patients in one day We need to determine whether or not random. -Pound box has the probability that, on a highway at rush hour ) 18 by a county! Q: Internet Service Providers We need to determine whether the random variable.. Can expect from every \ ( 5:00\ ; p.m\ ) is rolled daily rate is driven each day,... Mean revenue per night if the values of the units is defective the shipment is rejected lengths of all students! A master 's in education from Truman State university in an exclusive subdivision 4 takes to drive the length the. At rush hour coin lands heads up is \ ( X\ ) is at least five to finish the...

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