Given that the test indicates that a particular driver is incompetent, what is the probability that the test is correct? b) Given that the test indicates that a particular driver is competent, what is the probability that the test is wrong

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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1. Suppose that 30% of the licensed drivers in Metro Manila are incompetent. Suppose also that a diagnostic test is available.  If a randomly selected driver is incompetent, the probability that the test will so indicate is 0.9; and if the selected driver is competent, the probability that the test will so indicate is 0.85.

a) Given that the test indicates that a particular driver is incompetent, what is the probability that the test is correct?

b) Given that the test indicates that a particular driver is competent, what is the probability that the test is wrong?

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