(Solved): 0 centimeters. A sample of 31 years of rainfall for California and a sample of 49 years of rainfall ...

0 centimeters. A sample of 31 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. (i) (i) (b) What is the probability that the sample mean is within 2.5 centimeters of the population mean for California? (Round your answer to four decimal places.) (c) What is the probability that the sample mean is within 2.5 centimeters of the population mean for New York? (Round your answer to four decimal places.) (d) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 2.5 centimeter of the population mean greater? Why?