Answer to Question #115091 in Statistics and Probability for Aaiza

Question

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic)
f(x,y)={(3x-y)/9, 1<x<3 , 1<y<2,
0, elsewhere

a) Find the marginal density functions of X and Y.
b) Find the mean and variance of X and Y
c) Are X and Y independent?

Answer 1

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