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The average annual precipitation for a large Midwest City is

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.

b. Find the probability that the mean of a random selection of 32 months will have a mean less than 30 inches.

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?

a. Find the probability that a randomly selected month will have less than 30 inches.

b. Find the probability that the mean of a random selection of 32 months will have a mean less than 30 inches.

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?

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