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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∣C)=P(GC)P(C)

=P(C∣G)P(G)P(C∣G)PC∣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%.

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Consider a school community of mfamilies, with niof them having ichildren, i=1,…,k,∑i=1kni=mConsider the following two methods for choosing a child:

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