classify the following random variables as discrete or continuous

as described in the main body of the text. $X$ is the number of dots on the top face of fair die that is rolled. The area of lots in an exclusive subdivision 8. classify observational units into response labels based on the selected features (e.g., [16]). Classify the following as discrete or continuous random variables. $X$ is a binomial random variable with the parameters shown. Determine the value $C$ must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. 65 the number of . the weight of newborns each year in a hospital 3.) The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) If the correlation coefficient is -0.80, below-average values of the dependent (y). Be on top of it. In a $\$1$ bet on even, the bettor pays $\$1$ to play. Let our experts help you. Movie lengths are an uncountable set. Variable Q consists of weight of grain which can't be counted but can be measured. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. There are about 140 million houses in the, A:Given information- The amount of sugar in a cup of coffee 6. Mac n Cheese, A:Given that Draw as many straight lines passing through both points A and B. Let $X$ denote the net gain from the purchase of a randomly selected ticket. P: the number of building permitsissued each month in a certain city. In a certain board game a player's turn begins with three rolls of a pair of dice. Five thousand lottery tickets are sold for $\$1$ each. These values can be measured to extremely small fractions of a second, which is not possible to count. Find the probability that such a shipment will be accepted. Find the probability that at least one of them will be able to speak English. Find the probability that the next litter will produce five to seven live pups. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . Find the probability of rolling doubles all three times. The number of patient's arrivals per hour at a medical clinic 5. A:givendatapopulationsd()=2595%cifor,E=3;n=? Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? 4. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. 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 They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit A roulette wheel has $38$ slots. The random variable is then continuous. what pairs of lines are parallel? 1) Number of customers served by a coffee shop per hour. Thus, it is a discrete variable. Let X be the random variable for the length of the leaves on a tree. Let $X$ denote the number of tosses made. Find the probability that the proofreader will miss at least one of them. If so, give the values of $n$ and $p$. m(Cu(NO3)2) = ? Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. 2 mean mpg of model Q car ( ) = 32 He makes four sales calls each day. Control group 1. b.Y : the length of time to play 18 holes of golf. frequency The number $X$ of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. What is the probability that $14$ or more people in such a sample would recognize its brand name if the actual proportion $p$ of all adults who recognize the brand name were only $0.50$? 2.) Do not write any units. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati Get access to thousands of practice questions and explanations! (Round your answer to three, A:Given Information: Assume the bills are normally distributed with standard deviation $ 17.15 . 26/02/2023 . The average amount spent on electricity each July by a randomly selected household in a certain state. First week only $4.99! d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. d.N: the number of eggs laid each month by a hen. 2.17 The variable in the problem is the number of leaves on a tree. 2) Classify the following random variable according to whether it is discrete or continuous. 7. The number of phone calls received at a police station on a day b. qualitative data. The time needed to finish the test 4. 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 voters favoring a candidate 3. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) : A class of $130$ students meets in a classroom with $130$ individual desks, exactly $14$ of which are constructed for people who write with their left hands. no. the following simple, A:Consider the three doors in the following order: A manufacturer receives a certain component from a supplier in shipments of $100$ units. Y : the length of time to play 18 holes of golf. He needs to ask someone directions. Interpret the mean in the context of the problem. Let X be a discrete random variable with the following PMF. Why? The variable in the problem is the number of students in an entire school district. What is the probability that they will clear exactly 4 hurdles? Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. Three coins are tossed and the random variable Z gives the number of tails. The number of accidents per year at an intersection. Determine whether or not the table is a valid probability distribution of a discrete random variable. All rights reserved. $X$ is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. A. 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. Verify that $X$ satisfies the conditions for a binomial random variable, and find $n$ and $p$. The weight of refuse on a truck arriving at a landfill. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. m(HNO3) = 12,6 of companies = 200 Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. Are the number of leaves on a tree a discrete or continuous variable? Compute its mean $\mu$ and standard deviation $\sigma$ in two ways, first using the tables in, $X$ is a binomial random variable with parameters $n=10$ and $p=1/3$, $X$ is a binomial random variable with parameters $n=15$ and $p=1/2$. The weight of the professional wrestler 2. The difference between them can be best understood using examples. The % change is computed in terms of % increase and % decrease. Instead of testing all $600$ blood samples to find the expected $12$ diseased individuals, investigators group the samples into $60$ groups of $10$ each, mix a little of the blood from each of the $10$ samples in each group, and test each of the $60$ mixtures. 92 High School GPA Let $C$ denote how much the insurance company charges such a person for such a policy. What is the probability that, A:Given Information: Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. They take positive real values, that means that in the interval used for the variable there are infinite possible values. Provide an appropriate response. You can specify conditions of storing and accessing cookies in your browser. The number of kernels of popcorn in a $1$-pound container. N: the number of eggs laid each month by a hen. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is $0.99$. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Answer in as fast as 15 minutes. N : the exact time it takes to evaluate 27+ 72. What assumptions can you make out of this activity? Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. Given: , of. $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and without replacement from a box that contains $25$ white marbles and $15$ black marbles. End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Circle the correct answer. Construct the probability distribution for the number $X$ of defective units in such a sample. A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. Tybalt receives in the mail an offer to enter a national sweepstakes. 3.65 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. Abstract. Sample size (n) = Round to two decimal places (for example: 42.81). If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? Variable P consists of number of buildings permit issued which can be counted. Find the expected number of skeins that contain knots. Continuous Classify the following random variables as discrete or continuous. 4 A. . In a hamster breeder's experience the number $X$ of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. $X$ 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. From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. 4 The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . In a random sample of $20$ adults, $14$ recognized its brand name. Independent variable (x) = no. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, Find the probability that the next litter will produce at least six live pups. 1.9 Classify the following random variables as discrete or continuous. Level of significance () = 0.1 Write only a number as your answer. Hamburger and the Discrete or Continuous Wavelet Transform (DWT/CWT). Assuming that boys and girls are equally likely, construct the probability distribution of $X$. The area of lots in an exclusive subdivision 4. Find the average number of inferior quality grapefruit per box of a dozen. 2 Use the formula for weighted data. Compute the mean revenue per night if the cover is not installed. The probability that a $7$-ounce skein of a discount worsted weight knitting yarn contains a knot is $0.25$. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . Classify the following random variables as discrete or continuous. 3.99 Determine the . 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. begins., A:Given data: A multiple choice exam has $20$ questions; there are four choices for each question. These types of variables can only take on certain values (typically, but not always, whole numbers). variable is a set of possible outcomes that is countable. 5 Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. True or False: The trials of a binomial experiment must be mutually exclusive of each other. Let $C$ denote how much the insurance company charges such a person for such a policy. Sandwich It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Total no. O False. The tack is dropped and its landing position observed $15$ times. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability $2/3$; it lands with its sharp point directed up into the air with probability $1/3$. Variable N consists of number of eggs laid which can be counted. Many phenomena can be viewed as examples of a random walk. Pretest The prizes and chances of winning are listed in the offer as: $\$5$ million, one chance in $65$ million; $\$150,000$, one chance in $6.5$ million; $\$5,000$, one chance in $650,000$; and $\$1,000$, one chance in $65,000$. Kelly Hawkins has taught high school math for over 5 years. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability So, it is a continuous variable. Use the first variable for the x-axis. Of all college students who are eligible to give blood, about $18\%$ do so on a regular basis. 3.36. Question 2. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour The temp Transcript There are a number of words. Suppose the, A:given data Seven thousand lottery tickets are sold for $\$5$ each. Find the expected value to the company of a single policy if a person in this risk group has a $97.25\%$ chance of surviving one year. The distance a rental car rented on a daily rate is driven each day. Discrete 3) Time taken to prepare a drink. This page titled 4.E: Discrete Random Variables (Exercises) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.
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