According to the current results website, the state of california has a mean annual rainfall of 23 inches, whereas the state of new york has a mean annual rainfall of 51 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 45 years of rainfall for new york has been taken. use z-table. a. show the probability distribution of the sample mean annual rainfall for california. (to 4 decimals).b. what is the probability that the sample mean is within 1 inch of the population mean for california? (to 4 decimals)c. what is the probability that the sample mean is within 1 inch of the population mean for new york? (to 4 decimals)