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A hotel can accommodate 50 customers, experiences show that $0.1$ of those who make a reservation will not show up. Suppose that the hotel accepts 55 reservations. Calculate the probability that the hotel will be able to accommodate all of the customers that show up.

I only tried to use the Poisson distribution, but I am sure it can not apply here, how this question can be solved easier? thanks

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    Use [binomial distribution](http://en.wikipedia.org/wiki/Binomial_distribution)2011-12-22

3 Answers 3