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# Refer to Example 2.26. Assume that the proportion of ISBN: 9780073401331 38

## Solution for problem 30E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 30E

Refer to Example 2.26. Assume that the proportion of people in the community who have the disease is 0.05.

a. Given that the test is positive, what is the probability that the person has the disease?

b. Given that the test is negative, what is the probability that the person does not have the disease?

Step-by-Step Solution:

Answer:

Step 1 of 3:

Given that, the proportion of people in the community who have the disease is 0.05.

Let D denote the event that a person has the disease.

Let  +ve represent the event that the test is positive. The values are given by  = 1- 0.05

= 0.95 and = 1- 0.99

= 0.01.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “Refer to Example 2.26. Assume that the proportion of people in the community who have the disease is 0.05.a. Given that the test is positive, what is the probability that the person has the disease?________________b. Given that the test is negative, what is the probability that the person does not have the disease?” is broken down into a number of easy to follow steps, and 53 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 30E from 2.3 chapter was answered, more than 393 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 30E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: disease, test, Probability, Person, given. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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Refer to Example 2.26. Assume that the proportion of