A company that does business in real estate buys properties in a metropolitan area. The company has a policy of making an offer of 20 percent less than the advertised price for cash sale. If one out of five vendors accept such an offer, find the probability that for the next 100 offers that will be made, between 14 and 35 vendors (inclusive) will accept the company’s offer? Use normal approximation of the binomial distribution with continuity correction.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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a) A company that does business in real estate buys properties in a metropolitan area. The company has a policy of making an offer of 20 percent less than the advertised price for cash sale. If one out of five vendors accept such an offer, find the probability that for the next 100 offers that will be made, between 14 and 35 vendors (inclusive) will accept the company’s offer? Use normal approximation of the binomial distribution with continuity correction. (b) There is a total of 80 shipping containers in a terminal. An inspector selects a random sample of 10 of these containers and finds that the mean weight of a container is 23.6 tons with a standard deviation of 2.5 tons. If a crane operator picks 5 of these containers randomly, what is the probability that the mean container weight of his sample of 5 containers will exceed 25 tons? Use finite population correction factor and assume normality
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