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Use the table to answer the following questions. (Type an integer or simplified

ID: 3056174 • Letter: U

Question

Use the table to answer the following questions. (Type an integer or simplified fraction) Positive test result (Drug use is indicated) Negative test result (Drug use is not indicated) Subject uses Drugs 15 Subject is not a Drug6 User 72 a) If one of the 100 test subjects is randomly selected, what is the probability that the subject had a positive test result. b) If one of the 100 test subjects is randomly selected, what is the probability that the subject is a drug user, given that the test result is positive

Explanation / Answer

a) Probability of having a positive test result = (15 + 6)/100

= 0.21.

b) P(Subject is a drug user | Positive result)

= P(Subject is a drug user and result is positive) / P(result is positive)

= 15 / (15 + 6) = 15/21 = 0.7143. (Ans).

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