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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 7e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 7e

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# The number of hits on a certain website follows a Poisson

ISBN: 9780073401331 38

## Solution for problem 7E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 7E

Problem 7E

The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.

a. What is the probability that 5 messages are received in a given minute?

b. What is the probability that 9 messages are received in 1.5 minutes?

c. What is the probability that fewer than 3 messages are received in a period of 30 seconds?

Step-by-Step Solution:

Solution

Step 1 of 4

Here given that the no. of hits on a web site follows the poisson distribution with mean a rate of 4 per minute

Let X is the  no. of hits on a web site

The pmf of poisson distribution is P(X)=, X=0,1,2,..............

Then XPoisson(4)

Hence =4

Step 2 of 4

Step 3 of 4

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The number of hits on a certain website follows a Poisson