Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Pattern Recognit. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is \(0.008\). 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 1. . The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. Provide an appropriate response. 1 The tourist sees four local people standing at a bus stop. Classify the following random variable. Explain fully. What is the relationship between y and 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 Let X be a discrete random variable with the following PMF. If the ball does not land on an even numbered slot, he loses his dollar. 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. at separates the lower 40 % of the bills from the rest. : The function f(x) = -x^4 + 3 does not have an absolute maximum. The number of kernels of popcorn in a \(1\)-pound container. 65 f- if it takes on values on a continuous scale. A student guesses the answer to every question. 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. 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 . Compute the probability indicated. A continuous variable is one whose value can be obtained by measuring it. What Is Plantar Fasciitis? . What is the product of 1.7 and 0.2? C. 0.19 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. And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. 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. What is the probability that they will clear exactly 4 hurdles? CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Legal. Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. Find the probability that Borachio will produce more than three blemished tires tomorrow. Correct to give accuracy, the amount of water measured in liters. 3) Time taken to prepare a drink. What is the average number of customers who are waiting in line the moment Shylock enters? A:Given that Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. \(X\) 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. 4.8 (9 reviews) Term 1 / 10 the number of defective computers produced by a manufacturer Click the card to flip Definition 1 / 10 discrete Click the card to flip Flashcards Learn Test Match Created by quizlette7862173 Terms in this set (10) The temp Transcript There are a number of words. Construct the probability distribution of \(X\). C. 0.19 The number of heads in two tosses of a coin. of categories (k) = 5 (For fair dice this number is \(7\)). Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. b) Find the equation of the, A:Dependent variable (y) = Final grade of the student sample size (n)=25 standard deviation (s)=8mL Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. The number of boys in a randomly selected three-child family. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. : The number of cups of coffee sold in a cafeteria during lunch. A:Please find the explanation for question b below. Are movie time lengths discrete or continuous variables? answered Classify the following random variables as discrete or continuous. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Determine whether or not the random variable \(X\) is a binomial random variable. The average amount spent on electricity each July by a randomly selected household in a certain state. discrete. the weight of newborns each year in a hospital 3.) This site is using cookies under cookie policy . Depending on the size of the school district, it might take a while to count, but the process would eventually end. Discrete Determine the . Find the probability that it lands heads up at most five times. every payday, at which time there are always two tellers on duty. Null hypothesis: H0:, Q:7. TRUE OR FALSE? 1.9 copyright 2003-2023 Study.com. 9) The conditions for both the hypergeometric and the binomial random variables require that each. Adverse growing conditions have caused \(5\%\) of grapefruit grown in a certain region to be of inferior quality. So, it is a discrete variable. Find the average number of cracked or broken eggs in one dozen cartons. 93 The data is as follows: B. 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. Determine whether the quantitative variable is discrete or continuous. Be on top of it. Continuous the number of . A discrete variable is a variable whose value is obtained by counting. Find the chance that he guesses correctly between four and seven times. Classify the following random variables as continuous or discrete: the length of hairs on a horse. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. So, it is a discrete variable. . Consider 2010, 31, 2225-2236. O continuous . Construct the probability distribution for the number \(X\) of defective units in such a sample. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Construct the probability distribution of \(X\). 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. 2) Amount of milk used per drink. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 1) Number of customers served by a coffee shop per hour. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. 0.77 Pizza Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. Find the probability that the next litter will produce at least six live pups. He makes four sales calls each day. A work contains four errors. Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). vising nurse wants to visit all patients in one day. Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin \(X\) is the number of dots on the top face of fair die that is rolled. 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. 54 In a \(\$1\) bet on red, the bettor pays \(\$1\) to play. c.M: the amount of milk produced yearly by a particular cow. =5%=1.2%. The time needed to finish the test 4. These imperfections can include the following: . 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Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Variable Q consists of weight of grain which can't be counted but can be measured. Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. The number of accidents per year at an intersection. Recalculate according to your conditions! 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. The probability that an egg in a retail package is cracked or broken is \(0.025\). Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. 2, 3. Write only a number as your answer. In a certain board game a player's turn begins with three rolls of a pair of dice. Mac n Cheese, A:Given that Classify the following random variables as discrete or continuous. In easier definition, discrete random. The amount of rainfall at an airport next month. Let our experts help you. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. Discrete Mac n cheese Posttest What is the probability that, A:Given Information: (Enter != for as. TRUE OR FALSE. 3. Tuleau-Malot, C. Variable selection using random forests. Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. This is continuous. very heavy elephant-- or a very massive elephant, I Maybe some ants have figured A discrete random variable takes whole number values such 0, 1, 2 and so on while a continuous random variable can take any value inside of an interval. 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. If not, explain why not. average (x)=995 the number of building permits issued each month in a certain city. The weight of the professional wrestler. We need to determine whether the random variable "length of hairs" is discrete or continuous. Y : the length of timeto play 18 holes of golf. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). mean mpg of model Q car ( ) = 32 0.34 Classify the following random variables as discrete or continuous. as described in the main body of the text. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). 3. About \(12\%\) of all individuals write with their left hands. Find the probability that \(X\) is at least five. If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? the number of defective computers produced by a manufacturer. It is important to note that this variable was not specified to an hour, a minute, etc. 1) Classify the following random variable according to whether it is discrete or continuous. 3.36. 1) Number of customers served by a coffee shop per hour. If so, give the values of \(n\) and \(p\). \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Answer in as fast as 15 minutes. Represent Measured data. Will the owner have the cover installed? Borachio works in an automotive tire factory. It's a ratio of two continuous functions. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. One ticket will win \(\$2,000\), two tickets will win \(\$750\) each, and five tickets will win \(\$100\) each. a = 0.05.) 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, The amount of rain recorded at an airport one day. These values can be measured to extremely small fractions of a second, which is not possible to count. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. The distance a rental car rented on a daily rate is driven each day. 1) Number of customers served by a coffee shop per hour. Find the probability that \(X\) is two, three, or four. Discrete 2) Amount of milk used per drink. 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of number of distinct values. Complete: The absolute value of a number is its distance from ? It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Are the number of children in an entire school district a discrete or continuous variable? Let X be the random variable for the length of the leaves on a tree. B. Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. 1. 1.9 Thus, this variable can be measured to any fraction of a second. 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. Application 1. the number of defective computers produced by a manufacturer (10 mins.) Your question is solved by a Subject Matter Expert. (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. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? The time between customers entering a checkout lane at a retail store. In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. In a random sample of \(20\) adults, \(14\) recognized its brand name. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. He needs to ask someone directions. The number of no-shows for every \(100\) reservations made with a commercial airline. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. $$ $$ 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 . P: the number of building permitsissued each month in a certain city. Start your trial now! no. 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 Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. 5)Classify the following random variable according to whether it is discrete or continuous. A:We have given that \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . 3. Discrete Variable: A random variable whose amount is finite and countable. The weight of newborns each year in a hospital 5. 3.77 Find the probability that it lands heads up more times than it lands tails up. Let \(X\) denote the number of the next \(20\) purchasers who do so. Get an expert answer. 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. The average weight of newborn babies born in a particular county one month. 72 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. Lett. Compute the mean revenue per night if the cover is not installed. The air pressure of a tire on an automobile. .. Classify the following random variables as discrete or continuous. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. the following simple, A:Consider the three doors in the following order: 10 4 Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Find the probability that such a shipment will be accepted. The number of coins that match when three coins are tossed at once. Find the average number of patients each day who require a sedative. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. B. Result: Continuous. Find the most likely number of skeins that contain knots. Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. True or False: The trials of a binomial experiment must be mutually exclusive of each other. Two fair dice are rolled at once. Find the probability that the proofreader will miss at least one of them. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a Q:A watch manufacturer claims that their watches on average will neither gain nor lose Find the average number of inferior quality grapefruit per box of a dozen. Y : the length of time to play 18 holes of golf. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. 7. 2.17 Example Discrete Variables: state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . If it costs Tybalt \(44\) cents to mail his entry, what is the expected value of the sweepstakes to him? 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. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. 5 Since this data can be obtained by counting, it is a discrete variable. Determine whether or not the random variable \(X\) is a binomial random variable. Y : the length of time to play 18 holes of golf. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . Find the standard deviation of the length of time the bus takes to drive the length of its route. n=12 5. The number of vehicles owned by a randomly selected household. The mean \(\mu\) of \(X\). Variable P consists of number of buildings permit issued which can be counted. How do you determine whether data is discrete or continuous? View this solution and millions of others when you join today! The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. The number of students who actually register for classes at a university next semester. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? Blanca weighs x pounds. Do not write any units. Step 1: Identify the variable in the problem. Discrete Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Moment generating function of X is \(X\) is a binomial random variable with the parameters shown. An appliance store sells \(20\) refrigerators each week. Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} 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 \(0.50\)? 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. Thus, it is a discrete variable. Classify each random variable as either discrete or continuous. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that Classify the following random variables as discrete or continuous. Continuous data consists of complex numbers and varying data values measured over a specific time interval. Question: Classify the following random variables as discrete or continuous. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. 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 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? menu normal distribution Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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