Poisson Distribution · Exercise 14
The switchboard in a Minneapolis law office gets an average of 5.5 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.
(b) What is the probability that the office receives at most six calls at noon on Monday?
(c) Find the probability that the law office receives six calls at noon. What does this mean to the law office staff who get, on average, 5.5 incoming phone calls at noon?
(d) What is the probability that the office receives more than eight calls at noon?
OpenStax, Introductory Statistics 2e · §4.6 Poisson Distribution · Exercise 14
No hints for this one.
Check your full solution
Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.
Your first check today doesn't need an account.
Your photos and PDFs are read once and not stored — only the transcription is kept.