(a) Verify that is a joint density function.
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Suppose X and Y are random variables with joint density function.
(a) Verify that f is indeed a joint density function
(a) Verify that is a valid joint density function.
(b) If X and Y are random variables whose joint function is the function in (a) , Find
(i)
(ii)
Let Y1 and Y2 have the joint probability density function given by
f(y1,y2) = { ky1y2 , 0 y1 1 , 0 y2 1
{ 0 , elsewhere
a) Find the value of k that makes this a probability density function
b) Find the joint distribution function for Y1 and Y2.
c) Find P( Y1 1/2, Y2 3/4).