9. A study of the post treatment 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 study is conducted on 750 people. The number of cases falling in four education-conviction categories are shown in the following table: Status within 2 years after treatment Education Convicted Not Convicted Total 75 325 10 years or more 9 years or less Total 250 125 300 425 200 550 750 Suppose that a single offender is selected from the treatment program. Define the events; A: The offender has 9 or less 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(AN B) d. P(A U B) e. P(An B) f. P(AU B)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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9. A study of the post treatment 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 study is conducted on 750 people. The number of cases falling
in four education-conviction categories are shown in the following table:
Status within 2 years after treatment
Education
Convicted
Not Convicted
Total
75
325
10 years or more
9 years or less
Total
250
125
300
425
200
550
750
Suppose that a single offender is selected from the treatment program. Define the events; A: The
offender has 9 or less 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(AN B)
d. P(A U B)
e. P(An B)
f. P(AU B)
Transcribed Image Text:9. A study of the post treatment 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 study is conducted on 750 people. The number of cases falling in four education-conviction categories are shown in the following table: Status within 2 years after treatment Education Convicted Not Convicted Total 75 325 10 years or more 9 years or less Total 250 125 300 425 200 550 750 Suppose that a single offender is selected from the treatment program. Define the events; A: The offender has 9 or less 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(AN B) d. P(A U B) e. P(An B) f. P(AU B)
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