(b) Let X and Y be independent and identically distributed random variables with mean H and variance o?. Find the follow

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(b) Let X and Y be independent and identically distributed random variables with mean
H and variance o?. Find the following:
find all of part b only

B Let X And Y Be Independent And Identically Distributed Random Variables With Mean H And Variance O Find The Follow 1 (28.25 KiB) Viewed 13 times

2. (a) Let the random variables X and Y have the joint distribution 0, x <0 or y < 0 0≤x<4 4 ≤ x and any y 20 Fxy(x, y) = 5/x+e-(x+1)y2 x+1 -e-5y² -e-x²), (i) Find the marginal distributions Fx (x) and Fy (y). (ii) Compute the joint probability P(3 < X < 5,1 <Y ≤ 2). (iii) Compute the conditional probability P(3 < X < 51 <Y ≤ 2) (b) Let X and Y be independent and identically distributed random variables with mean μ and variance o². Find the following: (i) E[(X-Y)²] (ii) E[(X+Y)²] (iii) Cov{(X+Y), (X-Y)}