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(Sec. 5.2) Let X and Y be the two random variables defined in problem 1. (a) Compute the covariance of X and Y. (b) Compute p for X and Y.

(Sec. 5.2) Let X and Y be the two random variables defined in problem 1. (a) Compute the covariance of X and Y. (b) Compute p for X and Y.

MATLAB: An Introduction with Applications
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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Second part A and B only.

1. (Sec. 5.2) An instructor gives a short quiz consisting of two parts. For a randomly selected student, let X =the number of points earned on the first part and Y =the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the table below. p(x.,y) | y=0| y=5 | y=10 | y=15 .02 20 X=0 .02 .06 .1 x=5 .04 15 .10 X=10 .01 .15 .14 .01 (a) If the score recorded in the gradebook is the total number of points earned on the two parts, what is the expected value of the recorded score E(X +Y)? (b) If the instructor records the difference in scores between the second and first part, what is the expected difference? (c) If the minimum of the two scores is recorded, what is the expected value of the recorded score? (Sec. 5.2) Let X and Y be the two random variables defined in problem 1. (a) Compute the covariance of X and Y. (b) Compute p for X and Y.
Transcribed Image Text:1. (Sec. 5.2) An instructor gives a short quiz consisting of two parts. For a randomly selected student, let X =the number of points earned on the first part and Y =the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the table below. p(x.,y) | y=0| y=5 | y=10 | y=15 .02 20 X=0 .02 .06 .1 x=5 .04 15 .10 X=10 .01 .15 .14 .01 (a) If the score recorded in the gradebook is the total number of points earned on the two parts, what is the expected value of the recorded score E(X +Y)? (b) If the instructor records the difference in scores between the second and first part, what is the expected difference? (c) If the minimum of the two scores is recorded, what is the expected value of the recorded score? (Sec. 5.2) Let X and Y be the two random variables defined in problem 1. (a) Compute the covariance of X and Y. (b) Compute p for X and Y.
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