Customers arrive at the automatic teller machine in accordance with a Poisson process with rate 12 per
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Customers arrive at the automatic teller machine in accordance with a Poisson process with rate 12 per hour. The amount of money withdrawn on each transaction is a random variable with mean $30 and standard deviation $50. (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 less than $6000.
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