Question: Customers arrive at the automatic teller machine in accordance with a Poisson process with rate 10 per hour. The amount of money withdrawn on each

Customers arrive at the automatic teller machine in accordance with a Poisson process with rate

10 per hour. The amount of money withdrawn on each transaction is a random variable with mean

$40 and standard deviation $10. (A negative withdrawal means that money was deposited.) The

machine is in use for 15 hours daily. Approximate the probability that the total daily withdrawal

is greater than $4,000.

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