Annual Precipitation The average annual precipitation for

Chapter 6, Problem 21

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Annual Precipitation The average annual precipitation for a large Midwest city is 30.85 inches with a standard deviation of 3.6 inches. Assume the variable is normally distributed. a. Find the probability that a randomly selected month will have less than 30 inches. 0.4052 or 40.52% b. Find the probability that the mean of a random selection of 32 months will have a mean less than 30 inches. 0.0901 or 9.01% c. Does it seem reasonable that one month could have a rainfall amount less than 30 inches? Yes, the probability is slightly more than 40%. d. Does it seem reasonable that the mean of a sample of 32 months could be less than 30 inches? Its possible since the probability is about 9%.

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