   Chapter 8, Problem 41RE ### 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

# Disease One person in 100,000 develops a certain disease. Calculate(a) Pr(exactly 1 person in 100,000 has the disease).(b) Pr(at least 1 person in 100,000 has the disease).

(a)

To determine

To calculate: The probability that exactly 1 person in 100,000 has the disease if one person in 100,000 develops a disease.

Explanation

Given Information:

One person in 100,000 develops a disease.

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 100,000 persons. So, n=100000.

The probability that a person has disease is 1100000. So, p=1100000

(b)

To determine

To calculate: The probability that at least 1 person in 100,000 has the disease if one person in 100,000 develops a disease.

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