I need help solving this problem

According to the Current Results website, the state of California has a mean annual rainfall of 24 inches, whereas the state of New York has a mean annual rainfall of 41 inches. Assume that the standard deviation for both states is 5 inches. A sample of 30 years of rainfall for California and a sample of 45 years ( rainfall for New York has been taken. Use z-table. a. Show the probability distribution of the sample mean annual rainfall for California. This is a graph of a normal distribution with E(E) = and 0'5 = (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) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? The probability of being within 1 inch l - Select your answer - for New York in part (c) because the sample size is . greater lower