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Need help on number 3. Please use method of transformation. Explain if possible. (2)Suppose that X...

Question

Need help on number 3. Please use method of transformation. Explain if possible. (2)Suppose that X...

(2)Suppose that X and X2 have joint pdf f(x1, x2) = 2 ,0<x1<x2 < 1, and zero otherwise. Compute the pdf of the random variabl

Need help on number 3. Please use method of transformation. Explain if possible.

(2)Suppose that X and X2 have joint pdf f(x1, x2) = 2 ,0<x1<x2 < 1, and zero otherwise. Compute the pdf of the random variable Y = (3)Let X-Exp(1) and Y-Exp(1). X and Y are independent. a. Find the pdf of A=(X+Y) and B=(x-7). b. Are A and B independent? C. Find the marginal of A and B

Answers

DATE II 4D WE xu Expld), Yu Exple). de: -. I These are pedef cy * ardy. dy) = as a ardd y are independent sor Joint dently ohwith the help of shaded sugion. A,B) = f (MM) 1ST ACB LA LO HAB) 20-2A -ACB.CA 10 oth wise Now clearly I Suppent of a arel B-2A- __centy-olutio3)0) २९-2 7-8 -D-CLc Jo 679 __BC b) ; - / ____ 00 / ८ _nwhind .


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