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In Example 3f, suppose that the new evidence is subject to

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross ISBN: 9780321794772 63

Solution for problem 34P Chapter 3

A First Course in Probability | 9th Edition

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A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

A First Course in Probability | 9th Edition

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Problem 34P

Problem 34P

In Example 3f, suppose that the new evidence is subject to different possible interpretations and in fact shows only that it is 90 percent likely that the criminal possesses the characteristic in question. In this case, how likely would it be that the suspect is guilty (assuming, as before, that he has the characteristic)?

Step-by-Step Solution:

Solution :

Step 1 of 1:

Our goal is :

Now we need to find how likely would it be that the suspect is guilty.

Let G denotes the event that the suspect is guilty.

Then the probability of the guilt of a certain suspect is

 0.6

Then  is

1-0.6

0.4

Given the new evidence is subject to different possible interpretations and in fact shows only that it is 90 percent.

Let C denotes the event that he posses the characteristic of the criminal.

So G is already happening event.

Then the probability of C given G is

 

 0.9

Therefore, the probability of C given G is 0.9.

Now we have to compute .

Here  is

Where,

1-0.9

 0.2 and

1-0.6

 0.4

 

0.8709

Therefore,  is 0.8709.


Step 2 of 1

Chapter 3, Problem 34P is Solved
Textbook: A First Course in Probability
Edition: 9
Author: Sheldon Ross
ISBN: 9780321794772

This textbook survival guide was created for the textbook: A First Course in Probability , edition: 9. The full step-by-step solution to problem: 34P from chapter: 3 was answered by , our top Statistics solution expert on 08/11/17, 08:57AM. Since the solution to 34P from 3 chapter was answered, more than 502 students have viewed the full step-by-step answer. The answer to “In Example 3f, suppose that the new evidence is subject to different possible interpretations and in fact shows only that it is 90 percent likely that the criminal possesses the characteristic in question. In this case, how likely would it be that the suspect is guilty (assuming, as before, that he has the characteristic)?” is broken down into a number of easy to follow steps, and 54 words. A First Course in Probability was written by and is associated to the ISBN: 9780321794772. This full solution covers the following key subjects: Interpretations, likely, characteristic, assuming, Criminal. This expansive textbook survival guide covers 4 chapters, and 469 solutions.

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In Example 3f, suppose that the new evidence is subject to