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Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 2 - Problem 77e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 2 - Problem 77e

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# A study of the posttreatment behavior of a large number of

ISBN: 9780495110811 47

## Solution for problem 77E Chapter 2

Mathematical Statistics with Applications | 7th Edition

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Problem 77E

Problem 77E

A study of the posttreatment behavior of a large number of drug abusers suggests that the likelihood of conviction within a two-year period after treatment may depend upon the offenders education. The proportions of the total number of cases falling in four education–conviction categories are shown in the following table:

Suppose that a single offender is selected from the treatment program. Define the events:

A: The offender has 10 or more years of education.

B: The offender is convicted within two years after completion of treatment.

Find the following:

a P ( A ).

b P ( B ).

c P ( A B).

d P ( A B).

h P ( A|B).

i P ( B| A).

Step-by-Step Solution:

Step 1 of 10:

Here the experiment under consideration is study of the posttreatment behaviour of drug abusers and randomly selecting a single offender.

The proportion of number of cases falling under different condition are given.

 Status within two years after treatment Education Convicted Not convicted Total 10 years or more 0.10 0.30 0.40 9 years or less 0.27 0.33 0.60 Total 0.37 0.63 1.00

Also it is given that

A is the event that the offender has 10 or more years of education.

B is the event that the offender is convicted within two years of treatment.

Using these, we have to find the required probabilities.

Step 2 of 10

Step 3 of 10

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