2. Let X and Y be random variables having joint density function[cC(2x + y)Osxs1,0sys2F(x,y) =1 0otherwisea. What is the value of C?b. What is the probability that X is greater than % and Y is less than 3/2?c. Determine the marginal density function of X and Y.d. Find E(X), E(Y), Var(X), Var(Y), a(x). , a(y)e. Are X and Y independent, show your solutionf. Find the correlation between X and Y variable and interpret your findings, show yoursolution.g. Find the conditional density for X given Y=y, conditional density for Y given X=x

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Answered: 2. Let X and Y be random variables…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. Let X and Y be random variables having joint density function "C (2x + y) Osxs1,0sys2 F(x,y) =10 otherwise a. What is the value of C? b. What is the probability that X is greater than % and Y is less than 3/2? c. Determine the marginal density function of X and Y.