Requests for online help at a website chat follow a Poisson distribution with a mean rate of 0.2 requests per second. Find the following: a. The probability that there are no requests for help during a one second interval. Does the size of the probability make sense? Explain. b. The probability that there are between 2 and 3 requests (inclusive) during a 5 second interval. c. The mean and standard deviation for the number of requests in a five second interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

Requests for online help at a website chat follow a Poisson distribution with a mean rate of 0.2 requests per second. Find the following:

a. The probability that there are no requests for help during a one second interval. Does the size of the probability make sense? Explain.

b. The probability that there are between 2 and 3 requests (inclusive) during a 5 second interval.

c. The mean and standard deviation for the number of requests in a five second interval.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill