/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.3.34 In Example 3f, suppose that the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.3.34 (page 100)

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)?

Short Answer

Expert verified

The suspect feel guilty by 87%.

Step by step solution

01

Given information

The new evidence is subject to different possible interpretations and in fact shows only that it is90 percent likely that the criminal possesses the characteristic in question

02

Solution

The solution will be,

G=event that the suspect is guilty

C=event that he possesses the characteristic of the criminal

Then,

P(G鈭�C)=P(GC)P(C)

=P(C鈭�G)P(G)P(C鈭�G)PC鈭�GCPGC

=(0.9)(0.6)(0.9)(0.6)+(0.2)(0.4)

=0.540.62

=2731

=87%

03

Final answer

In this case that the suspect feel guilty by 87%.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

(a) A gambler has a fair coin and a two-headed coin in his pocket. He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is the fair coin?

(b) Suppose that he flips the same coin a second time and, again, it shows heads. Now what is the probability that it is the fair coin?

(c) Suppose that he flips the same coin a third time and it shows tails. Now what is the probability that it is the fair coin?

A and B play a series of games. Each game is independently won by A with probability p and by B with probability 1鈭� p. They stop when the total number of wins of one of the players is two greater than that of the other player. The player with the greater number of total wins is declared the winner of the series.

(a) Find the probability that a total of 4games are played.

(b) Find the probability that A is the winner of the series

A total of 46percent of the voters in a certain city classify themselves as Independents, whereas 30percent classify themselves as Liberals and 24percent say that they are Conservatives. In a recent local election, 35percent of the Independents, 62percent of the Liberals, and 58percent of the Conservatives voted. A voter is chosen at random. Given that this person voted in the local election, what is the probability that he or she is

(a) an Independent?

(b) a Liberal?

(c) a Conservative?

(d) What percent of voters participated in the local election?

There is a 50鈥�50 chance that the queen carries the gene for hemophilia. If she is a carrier, then each prince has a 50鈥�50 chance of having hemophilia. If the queen has had three princes without the disease, what is the probability that the queen is a carrier? If there is the fourth prince, what is the probability that he will have hemophilia?

Die A has 4 red and 2 white faces, whereas die B has

2 red and 4 white faces. A fair coin is flipped once. If it

lands on heads, the game continues with die A; if it lands on tails, then die B is to be used.

(a) Show that the probability of red at any throw is 12

(b) If the first two throws result in red, what is the probability of red at the third throw?

(c) If red turns up at the first two throws, what is the probability

that it is die A that is being used?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.