The joint probability density function of X and Y is given by Compute E[X] and P[Y>2]
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Originally Posted by Stats The joint probability density function of X and Y is given by Compute E[X] and P[Y>2] As with most of the questions you have asked, apply the basic definitions: . . Now integrate (it is assumed that you have the necessary calculus background).
By inspection the two rvs are independent. X is an exponential with mean 1, hence EX=1, same for Y. Since you only need to compute .
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