Let X and Y be independent random variables that are both uniformly distributed on [0, 1]. We define Z = max(X, Y) and W = min(X,Y). (a) Find marginal PDF fz(z), marginal PDF fw (w) and joint PDF fz,w (z, w). (b) Find Cov(Z, W).
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![Let X and Y be independent random variables that are both uniformly distributed on [0, 1]. We define Z =
max(X,Y) and W = min(X,Y).
(a) Find marginal PDF fz(z), marginal PDF fw(w) and joint PDF fz,w (z, w).
(b) Find Cov(Z, W).
Problom 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F057bee6a-1f2b-4b6f-a49c-30fa16594819%2Fed0a12a9-8241-4edd-ac1b-b8118185f33a%2Fa17mjhn_processed.jpeg&w=3840&q=75)
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