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A survey showed that the probability that an employee gets placed in a job that is suitable for the employee is 0.65. A psychometric test consultant
claimed that he could help place any employee in a suitable job based on the result of a psychometric test. An employee working in a particular
company decides to take this test. The test has an accuracy rate of 70%. This data is represented in the tree diagram.
с
test predicts that
the employee is in
the correct job
A
probability that
the employee
is in the
wrong jot
test predicts that
the employee is in
the wrong job
D
11
Select the correct answer.
The test predicts that the employee is in a suitable job. What is the probability that the employee is in a suitable job, given the test's outcome?
O A. 0.2450
OB.
0.5568
C.
0.8125
OD.
0.9927