Could any one please send solution forfollowing question. Please reply as soon a

Question

Could any one please send solution forfollowing question. Please reply as soon as possible. Please menion ach and everystep. If the independent random variables X & Y have themarginal densities f(x) = { 1/2 for 0<x<2                0elsewhere (y) = {1/3 for 0<y<3                0elsewhere find a) The joint probability density of X & Y b) The value of P (X2 + Y2 + 1). Thank you Could any one please send solution forfollowing question. Please reply as soon as possible. Please menion ach and everystep. If the independent random variables X & Y have themarginal densities f(x) = { 1/2 for 0<x<2                0elsewhere (y) = {1/3 for 0<y<3                0elsewhere find a) The joint probability density of X & Y b) The value of P (X2 + Y2 + 1). Thank you

Explanation / Answer

f(x,y)=f(x)(y) snce X and Y are independent. So, f(x,y)=1/6    for 0<x<2 and0<y<3 b) If X is continuous rv then P(X)=0, hence P(X2+Y2+1)=0

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