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Moment generating function of exponential random variable

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Prove that the moment generating function of an exponential random variable, X, with parameter λ is MX (t) = λ/λ-t , t < λ.

Approximately 6 trains arrive at the Foggy Bottom train station every hour.

(a) Find the probability that 2 trains will arrive in the next 10 minutes.

(b) Find the probability that a passenger who just missed a train will have to wait at least 10 minutes for the next train.

Reference no: EM132263555

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