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Chapter 15: Q14MP (page 777)

Suppose a200 -page book has, on the average, one misprint every 10 pages. On about how many pages would you expect to find2misprints?

Short Answer

Expert verified

The number of pages is .Np=1

Step by step solution

01

Given Information  

A 200 page book has, on the average, one misprint every10 pages.

02

Definition of the Poisson distribution. 

A discrete frequency distribution that indicates the likelihood of a set of independent occurrences occurring at a specific moment.

03

Find the number of pages.

The formula for Poisson distribution states that.Pn=μne−μn!

The average is given below.

μ=0.1

Probabilities are given below.

Pn=(0.1)ne−0.1n!P2=(0.1)2e−0.12!=0.0045

The number of the pages is given below.

Np=N×P2=0.0045×200≈1

The number of pages is .Np=1

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