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
5.2
Correct: Your answer is correct.
phone calls
standard deviation
2.2804
Correct: Your answer is correct.
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.)
0.8620
Incorrect: Your answer is incorrect.
(c) Find the probability that the law office receives six calls at noon. (Round your answer to four decimal places.)
0.1350
Incorrect: Your answer is incorrect.