The number of cars that arrive in a certain mechanic shop

Reference no: EM13616876

The number of cars that arrive in a certain mechanic shop is a Poisson random variable with the parameter ? = 1. For k ? 1, given that exactly k cars arrive, the total time T that it takes to repair all these cars is a continuous uniform random variable on the interval [0, k + 1].

(1) Find the probability P (T ? 1). Simplify your answer.

(2) Find the expectation E[T]. Simplify your answer.

Reference no: EM13616876

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