A) A local motel has 200 rooms. The occupancy rate for the winter months is 60%.

Question

A) A local motel has 200 rooms. The occupancy rate for the winter months is 60%. Find the probability that in a given winter month at least 140 rooms will be rented. Use the normal distribution to approximate the binomial distribution.

B) Find the z-score that is greater that the mean and for which 70% of the distribution's area lies to its left.

C) In a recent survey, 81% of the community favored building a police substation in their neighborhood. You randomly select 19 citizens and ask each if he or she thinks the community needs a police substation. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard distribution. if not explain why.

Explanation / Answer

P(x ³ 139.5) = 0.0025

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