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

Question:

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 4 customers arrived by 11:05 a.m.

(b) The probability that a new customer will arrive between 11:29 and 11:36 a.m., given that the last customer arrived at 11:25 a.m.

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