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A Security Pacific Bank branch has opened up a drive through teller window. There is a...

A Security Pacific Bank branch has opened up a drive through teller window. There is a single service lane, and customers in their cars line up in a single line to complete bank transactions. The average time for each transaction to go through the teller window is exactly four minutes. Throughout the day, customers arrive independently and largely at random at an average rate of ten customers per hour.

What is the probability that a customer gets to complete his/her transaction within 5 minutes?

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