Q2. Here, the joint density function of two random variable X and Y are, S(2,9) = {clE*y* 3y² + x²y³), 1

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Q2. Here, the joint density function of two random variable X and Y are,
S(2,9) = {clE*y*
3y² + x²y³), 1<x < 4, 0<y< 4
0,
otherwise
(a) Find the value of c.
(b) Find P(2<x<5, 1<y<6)
(c) Find the marginal density function of x and y.
(d) Are x and y independent?
Transcribed Image Text:Q2. Here, the joint density function of two random variable X and Y are, S(2,9) = {clE*y* 3y² + x²y³), 1<x < 4, 0<y< 4 0, otherwise (a) Find the value of c. (b) Find P(2<x<5, 1<y<6) (c) Find the marginal density function of x and y. (d) Are x and y independent?
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