4. The time between arrivals at L&J restaurant is exponential with mean 5 minutes. The restaurant opens

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4. The time between arrivals at L&J restaurant is exponential with mean 5 minutes. The restaurant opens for business at 11:00 A.M. Determine the following:

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(a) The probability of having 10 arrivals in the restaurant by 11:12 A.M. given that 8 customers arrived by 11:05 A.M.

(b) The probability that a new customer will arrive between 11:28 and 11:33 A.M. given that the last customer arrived at 11:25 A.M.

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