Compute the median for the exponential distribution with parameter λ. (The exponential distribution is defined on page 62 of the text.) 15. Let X and Y be two random variables and let r, s, t, and u be real numbers. (a) Show that Cov(X + s, Y + u) = Cov(X, Y ). (b) Show that Cov(rX,tY ) = rtCov(X, Y ). (c) Show that Cov(rX + s,tY + u) = rtCov(X, Y ).

/in /by

Compute the median for the exponential distribution with parameter λ. (The
exponential distribution is defined on page 62 of the text.)
15. Let X and Y be two random variables and let r, s, t, and u be real numbers.
(a) Show that Cov(X + s, Y + u) = Cov(X, Y ).
(b) Show that Cov(rX,tY ) = rtCov(X, Y ).
(c) Show that Cov(rX + s,tY + u) = rtCov(X, Y ).

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