Q2. Here, the joint density function of two random variable X and Y are, (x,y) = {cCxy c(xy² +xy®), 1

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

Extracted 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<><4,><>< 4="" 0,="" otherwise="" (a)="" find="" the="" value="" of="" c.="" (b)="" find=""><><3,><><3) (c)="" find="" the="" marginal="" density="" function="" of="" x="" and="" y.="" (d)="" are="" x="" and="" y="">

Jun 03, 2022

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Q2. Here, the joint density function of two random variable X and Y are, (x,y) = {cCxy c(xy² +xy®), 1

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