Question: 1. (10 points) The run time of two computer programs, A and B, are independent random variables. The run time of Program A is exponentially

1. (10 points) The run time of two computer programs, A and B, are independent random variables. The run time of Program A is exponentially distributed with mean 3 minutes, while that of Program B is Gamma distributed random variable with parameters or = 2 and A = 2/3. In other words, letting X A and X 3 denote the run times of Programs A and B, respectively, we have that for each It > 0, (2/3)33)2_16_(2/3)I (2 1): P'(XA g t) = 1 _ e-t/S, ]P(XB g t) = f (2/3\" dm. 0 Find IP(XB

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