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What is the probability that at least half of the rooms are

A Florida Beach resort hotel has 150 rooms. In the spring months, hotel room occupancy is approximately 80%.

a) What is the probability that at least half of the rooms are occupied on a given day?

b) What is the probability that 125 or more rooms are occupied on a given day?

c) What is the probability that 115 or fewer rooms are occupied on a given day?

Let X be the hotel room occupancy
P (room occupied) = p = 0.80 and q =1 , p = 1 -0.80 = 0.20

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