The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2 per minute. (a)  What is the expected number of phone calls that pass through the switchboard in one minute? (b)  What is the probability that no telephone calls pass through the switchboard in two minutes? (c)  What is the probability that no telephone calls pass through the switchboard in two consecutive minutes?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

The number of telephone calls that pass through a switchboard has a Poisson distribution with
mean equal to 2 per minute.
(a)  What is the expected number of phone calls that pass through the switchboard in one minute?
(b)  What is the probability that no telephone calls pass through the switchboard in two minutes?
(c)  What is the probability that no telephone calls pass through the switchboard in two
consecutive minutes?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning