(a) Suppose (X, Y) is a pair of continuous random variables with joint probability density function if s >0 and t >1 if not fx,x(8,t) = { 3e$2 Let Fx,y be the joint cumulative distribution function of the pair (X,Y). Compute Fx,Y(4, 5). (b) Let (X,Y) be as in Part (a). The random variable log(Y) has an exponential distribution. What is the corresponding rate parameter?

A First Course in Probability (10th Edition)
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(a) Suppose (X, Y) is a pair of continuous random variables with joint probability density function
if s >0 and t >1
fx,x(s,t) = {
3e12
if not
Let Fx,y be the joint cumulative distribution function of the pair (X,Y). Compute Fx,(4, 5).
(b) Let (X,Y) be as in Part (a). The random variable log(Y) has an exponential distribution.
What is the corresponding rate parameter?
Transcribed Image Text:(a) Suppose (X, Y) is a pair of continuous random variables with joint probability density function if s >0 and t >1 fx,x(s,t) = { 3e12 if not Let Fx,y be the joint cumulative distribution function of the pair (X,Y). Compute Fx,(4, 5). (b) Let (X,Y) be as in Part (a). The random variable log(Y) has an exponential distribution. What is the corresponding rate parameter?
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