5. Let X and Y be independent, continuous random variables with the same maginal probability density function, defined as 2 t > 2 { fx (t) fy(t) t2 otherwise (a) What is the joint probability density function f(r, y)? (b) Find the probability density of W XY. Hint: Determine the cdf of Z)

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5. Let X and Y be independent, continuous random variables with the same maginal probability density function,
defined as
2
t > 2
{
fx (t) fy(t)
t2
otherwise
(a) What is the joint probability density function f(r, y)?
(b) Find the probability density of W XY. Hint: Determine the cdf of Z)
Transcribed Image Text:5. Let X and Y be independent, continuous random variables with the same maginal probability density function, defined as 2 t > 2 { fx (t) fy(t) t2 otherwise (a) What is the joint probability density function f(r, y)? (b) Find the probability density of W XY. Hint: Determine the cdf of Z)
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