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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.

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