Q2. Here, the joint density function of two random variable X and Y are, (x,y) = {cCx*y* c(x*y² +x*y®), 1

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Q2. Here, the joint density function of two random variable X and Y are,
(x,y) = {cCx*y*
c(x*y² +x*y®), 1<x<4, 0<y< 4
0,
otherwise
(a)
Find the value of c.
(b)
Find P(2<x<3, 1<y<3)
(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, (x,y) = {cCx*y* c(x*y² +x*y®), 1<x<4, 0<y< 4 0, otherwise (a) Find the value of c. (b) Find P(2<x<3, 1<y<3) (c) Find the marginal density function of x and y. (d) Are x and y independent?
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