It is known that the number of people who enter a bank, Ask an Expert

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It is known that the number of people who enter a bank during a time interval of t minutes is a Poisson random variable with the parameter mt. The bank opens at 8am and you arrive at the bank at uniformly random time between 8am and 9am. Let X be the number of people who entered the bank before you. Find the expectation and the variance of X.

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