Problem regarding the poisson process with intensity

Reference no: EM13985414

M°ans waits for the bus. The waiting time, T , until a bus comes is U (0, a)- distributed. While he waits he tries to get a ride from cars that pass by according to a Poisson process with intensity λ. The probability of a passing car picking him up is p. Determine the probability that M°ans is picked up by some car before the bus arrives.

Remark. All necessary independence assumptions are permitted.

Reference no: EM13985414

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