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A popular resort hotel has 300 rooms and is usually fully booked. About 5% of the...

A popular resort hotel has 300 rooms and is usually fully booked. About 5% of the time a reservation is canceled before the 6 p.m. deadline with no penalty. What is the probability that at least 282 rooms will be occupied? Use the binomial distribution to find the exact value?

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Answer #1

The number of rooms that will be booked can be modelled here as:

Therefore the probability now is computed here as:

Therefore 0.8250 is the required probability here.

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