Let X denote the number of times a certain numerical control machine will malfunction:1, 2, or 3 times on any given day. Let Y denote the number of times a technician iscalled on an emergency call. Their joint probability distribution is given in theaccompanying table. Determine the covariance between X and Y.Click the icon to view the joint probability distribution of X and Y.OXY =(Type an integer or a decimal. Do not round.)Machine Malfunctionsyf(x,y)13510.100.050.00X20.100.050.2530.050.350.05-X If X and Y are independent random variables with variances o =variance of the random variable Z= - 8X + 2Y - 9.= 9 and o² = 8, find theo² =(Simplify your answer.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. X 0 1 2 3 4 5 child(ren) (Round to one decimal place as needed.) P(x) 0.027 0.152 0.321 0.321 0.152 0.027 A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x's number values are not associated with probabilities. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the…
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 33 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that σ=1.31%.
please do this typewritten asap.
Suppose that we draw three cards (with replacement) from astandard deck containing 52 cards. Let X be the number of black cards drawn. Construct the probability distribution function of X as a function.
please do this typewritten asap.
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(a) 0.7 1.4 2.1 2.8 b. Which of the following probablity distribution graphs accurately represents the data set? 2. fx) 0.304 0.304 0.20 0.20 0.10- 0.10 0 0.7 14 2.1 2.8 O 0.7 14 2.1 2.8 3. fx) 0.304 0.20 0.10 0.7 1.4 2.1 2.8 |- Select your answer - c. Consider the required conditions for a discrete probability function, shown below. f(x) 20 (5.1) Ef(e) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer - Does this probability distribution satisfy equation (5.2)? - Select your answer- d. What is the probability a service call will take 2.1 hours? e. A service call has just…
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 30 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.5%? Interpret this probability. Assume that σ=1.22%.
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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