Mac n cheese Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. Issue three conclusions . 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 \(0.008\). Compute the probability indicated. 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. The number of cups of coffee sold in a cafeteria during lunch. Draw as many straight lines passing through both points A and B. Discrete 3) Time taken to prepare a drink. Use the formula for weighted data. So, it is a discrete variable. The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. These imperfections can include the following: . at separates the lower 40 % of the bills from the rest. 1 Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. 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 \(p=1/2\). M: the amount of milk produced yearly by a particular cow. No. 2. Application 1. the number of defective computers produced by a manufacturer (10 mins.) Classify each random variable as either discrete or continuous. Construct the probability distribution for the number \(X\) of defective units in such a sample. of companies = 200 A continuous variable is a variable whose value is obtained by measuring. Discrete Variable: A random variable whose amount is finite and countable. n=12 It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Classify the following random variables as discrete or continuous. Y : the length of time to play 18 holes of golf. . 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. Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. 3. a = 0.05.) state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . 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. Find the probability that such a shipment will be accepted. The number of leaves on a tree is a countable set. Level of significance () = 0.1 Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. m(HNO3) = 12,6 2) Amount of milk used per drink. 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. One ticket will win \(\$2,000\), two tickets will win \(\$750\) each, and five tickets will win \(\$100\) each. Null hypothesis: H0:, Q:7. Thus, this variable can be measured to any fraction of a second. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. Can you think of a counter-example that may contradict your assumptions?. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? 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. 0.77 d.N: the number of eggs laid each month by a hen. Find the chance that he guesses correctly between four and seven times. Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Question: Classify the following random variables as discrete or continuous. Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. Find answers to questions asked by students like you. The, Q:Internet Service Providers The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. Suppose a shipment has \(5\) defective units. Ask your question. Since this data can be obtained by counting, it is a discrete variable. It's a ratio of two continuous functions. m(CuO) = 10 The variable in the problem is the number of students in an entire school district. Recalculate according to your conditions! mean mpg of model Q car ( ) = 32 Thirty-six slots are numbered from \(1\) to \(36\); half of them are red and half are black. 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour Find the probability that the proofreader will miss at least one of them. 86 Interpret the mean in the context of the problem. Y : the length of timeto play 18 holes of golf. The denominator isn't zero. Variable Y consists of length of time which can't be counted but can be measured. A discrete variable is a variable whose value is obtained by counting. Find the most likely number of skeins that contain knots. Classify the following random variable according to whether it is discrete or continuous. 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. 46. Pattern Recognit. vising nurse wants to visit all patients in one day. Thus, it is a discrete variable. The average amount spent on electricity each July by a randomly selected household in a certain state. Compute the projected total revenue per season when the cover is in place. standard deviation, = 8 Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Sandwich 1) Classify the following random variable according to whether it is discrete or continuous. infinitely uncountable number of potential values, regularly. the number of eggs laid each month by a hen. The number of accidents per year at an intersection. number of distinct values. Borachio works in an automotive tire factory. Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). Construct the probability distribution of \(X\), the number of sales made each day. Exercise group The number of boys in a randomly selected three-child family. Round to two decimal places (for example: 42.81). The number of voters favoring a candidate 3. Find the confidence interval of, A:Given 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). Find the probability that at least one of them will be able to speak English. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. m(CuO) = 10 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 This site is using cookies under cookie policy . (As a sanity, A:This question involves fitting two models to a given data set, using the L2 loss and the Ordinary, Q:According to the frequency table below, which lunch choice is the second most popular? Q:(a) Perform answered A. Classify the following random variables as discrete or continuous. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. C. 0.19 Of all college students who are eligible to give blood, about \(18\%\) do so on a regular basis. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. Get access to thousands of practice questions and explanations! The number of accident-free days in one month at a factory. 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. \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). Classify the following random variables as discrete or continuous. Popl. 0.34 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. Are the number of leaves on a tree a discrete or continuous variable? Lunch choice Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). 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). Discrete 3) Time taken to prepare a drink. Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin 62 Example: Age in years. - Definition, Causes, Symptoms What Is Social Networking in Management? Moment generating function of X is 7. : The pattern evident from parts (a) and (b) is that if. 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. 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 . 91 \(X\) is a binomial random variable with the parameters shown. \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. The weight can take on decimal values such as 58.75 kg. The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. 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