3. The joint probability function of random variables X and Y is given by ƒ (x, y) = ke²²-³, 0

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3. The joint probability function of random variables X and Y is given by
ƒ (x, y) = ke²²-³, 0<x<y.
(a) Find k
(b) Find P(1<<2) ()
(c) Find the mean of Z = 2X+3Y+1
(d) Are the random variables X and Y independent? Justify your answer
Transcribed Image Text:3. The joint probability function of random variables X and Y is given by ƒ (x, y) = ke²²-³, 0<x<y. (a) Find k (b) Find P(1<<2) () (c) Find the mean of Z = 2X+3Y+1 (d) Are the random variables X and Y independent? Justify your answer
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