Solve for the mean and variance of the following probability mass function. 1.312P(X = x)0.250.500.050.20(B.)Ask AirF7F8F10F11

Answered: Image /qna-images/answer/86c4fb31-8add-4061-911d-be0a4717e6cc.jpg

Answered: 1. 12 P(X = x) 0.25 0.50 0.05 0.20 3.

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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Calculate the mean and variance of the random variable y, whose probability mass function is: f(y) = 1/5/201 , y = 1,2,3 30
Let Z be the standard normal random variable. Let X1 = Z, X2 = -Z be independent random variables. Find the probability density function, mean, and variance of X1 + X2
Suppose a fair die is thrown twice. Let us consider the following variable random: X = the maximum value that appears in the two tosses. Find the law (density function) of these random variables. Also, find hope and variance of each of them.
Two safety inspectors inspect a new building and assign it a “safety score" of 1, 2, 3, or 4. Suppose that the random variable X is the score assigned by the first inspector and the random variable Y is the score assigned by the second inspector, and that they have a joint probability mass function given in the following table: Y 1 2 3 4 1 0.09 0.02 0.2 0.02 2 0.01 0.1 0.1 0.03 3 0.04 0.01 0.04 0.2 4 0.01 0.02 0.1 0.01
4
As an added incentive for students to do homework for their probability course, the professor randomly picks two students at each class meeting. These two students are asked to explain a homework problem. On a particular day, five students from the class of 20 students have not done the homework. Let the random variable X be the number of students picked who have not done the homework. What is the probability mass function of X?
box A and box B both contain the numbers 1 2 3 and 4. Construct the probability mass function and draw the histrogram of the sum when one number from each box is taken at a time, with replacement.
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The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (in days) of a Web site is approximated in the following table. Days until Probability Changes 1.5 0.05 3.0 0.25 4.5 0.35 5.0 0.20 7.0 0.15 Determine the probability mass function of the days until change. O a. None among the choices O b. P(X < 5.0) = P(X = 1.5) + P(X = 3.0) + P(X = 4.5) = 0.65 c. P(X=1.5) 0.05 P(X=3.0) 0.25 P(X=4.5) 0.35 P(X=5.0) 0.20 P(X=7.0) 0.15 O d. P(X < 7.0) = P(X = 1.5) + P(X = 3.0) + P(X = 4.5) + P(X = 5.0) + P(X = 7.0) = 1 %3D
Which of the following is used to represent the Discrete Random Variables? a. Probability Machine Function b. Probability Density Function c. Probability Machine
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pas or fail. Assume that the probability that a wafer passes the test is 0.6 and that wafers are independent. Determine the probability mass function of the number of wafers from a lot that pass the test. Round your answers to three decimal places (e.g. 98.765). P(X = 0) = i P(X = 1) = i P(X = 2) = i P(X = 3) = i

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