Monthly Precipitation for Miami The mean precipitation for Miami in August is 8.9 inches. Assume that the standard deviation is 1.6 inches and the variable is normally distributed. a. Find the probability that a randomly selected August month will have precipitation of less than 8.2 inches. (This month is selected from August months over the last 10 years.) b. Find the probability that a sample of 10 August months will have a mean of less than 8.2 inches. c. Does it seem reasonable that a randomly selected August month will have less than 8.2 inches of rain? d. Does it seem reasonable that a sample of 10 months will have a mean of less than 8.2 months