The lifetimes, in months, of two components in a system, denoted X and Y, have joint probability densityfunctionc(x + y)², 0< x < 2 and 0 < y < 2otherwisef(x,y) = { da0, Compute the conditional expectation E(Y|X = 0.4).Are X and Y independent? Explain.

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Answered: Compute the conditional expectation…

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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Expected value = E(x) = x1P1+x2P2+ ... + xnPn Where x = the outcome and P = probability of outcome Dr. Kimball likes to go fishing with his son. To motivate his son, he pays him for the first fish that he catches. There are two types of edible fish that his son can catch: Trout and Salmon. If he catches a Trout he pays him $5, if he catches Salmon $3. There is a 20% chance that he will catch a trout and 50% that he will catch a Salmon.

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Compute the conditional expectation E(Y|X = 0.4). Are X and Y independent? Explain.