   Chapter 8, Problem 40RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Crime Suppose 20 % of the population are victims of crime. Out of 5 people selected at random, find the probability that 2 are crime victims.

To determine

To calculate: The probability that 2 are crime victims out of 5 people if 20% of the population are victims of crime.

Explanation

Given Information:

Out of 5 people, 20% of the population are victims of crime.

Formula used:

The probability of x successes in n trials is:

Pr(x)=(nx)pxqnx

Where p is probability of success,

Q is the probability of failure.

The value of (nx) is:

(nx)=n!n!(nx)!

Calculation:

As there are 5 crime victims. So, n=5.

The probability of victims of crime is 0.20. So, p=0.20.

So, the probability of not victims of crime is,

q=10.20=0

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