The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. O ^^^^. inches 39.9 40.6 41.3 42 42.7 43.4 44.1 inches -2.1-1.4-0.7 0 0.7 1.4 2.1 14 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) 0.8490 x inches 19.9 20.6 21.3 22 22.7 23.4 24.1 inches

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