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Assume that the lifetime

**T**is an r.v. that follows an exponential distribution with hazard rate

**a**(Note: the hazard rate is the parameter of the exponential distribution) and that the right censoring time

**C**is Uniform(0,b). Suppose that

**T**and

**C**are independent r.v. Find

**P(T>C)**.

Any help would be appreciated.

Thanks.