The switchboard in a law office gets an average of 5.2 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an hour. Let X = the number of calls received at noon. (a) Find the mean and standard deviation of X. (Enter your mean to one decimal place and round your standard deviation to four decimal places.) mean phone calls standard deviation phone calls (b) What is the probability that the office receives at most six calls at noon on Monday? (Round your answer to four decimal places.) (c) Find the probability that the law office receives six calls at noon. (Round your answer to four decimal places.) What does this mean to the law office staff who get, on average, 5.2 incoming phone calls at noon? This is the probability the law office staff will receive more calls after noon. This is the probability the law office staff will receive the largest number of calls they can handle. This is the probability the law office staff will receive more calls before noon. This is the probability the law office staff will receive a number of calls they can handle. (d) What is the probability that the office receives more than eight calls at noon? (Round your answer to four decimal places.)