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Customers arrive at a restaurant according to a Poisson distribution at a rate of 30 customers...

Customers arrive at a restaurant according to a Poisson distribution at a rate of 30 customers per hour. The restaurant opens for business at 11:00 am. (Assume that customers will stay long enough). Find the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am.

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