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Posted by on Saturday, May 4, 2013 at 5:52pm.

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 t. 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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