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Mathematical Applications for the ...

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

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BuyFindarrow_forward

Mathematical Applications for the ...

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

Crime Refer to Problem 40.

(a) What is the expected number of people in this sample that are crime victims?

(b) Find the probability that exactly the expected number of people in this sample are victims of crime.

(a)

To determine

To calculate: The expected number of people in the sample who are crime victims if the probability that 2 are crime victims out of 5 people.

Explanation

Given Information:

It is provided that 20% of the population are victims of crime.

Formula used:

If y is a discrete random variable with values y1,y2,,yn then the mean μ of the distribution is the expected value of y is given by

E(y)=y=05yPr(y)=y1Pr(y1)+y2Pr(y2)++ynPr(yn)

Where the expected value of y is denoted by E(y).

Calculation:

Consider the provided information.

The expected number of people in this sample who are a victim of crime is,

E(y)=y=05yPr(y)=(0×1024

(b)

To determine

To calculate: The probability that exactly the expected number of people in the sample are a victim of crime.

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