Question

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help

place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a
particular company takes the test.
The probability that the employee is in the right job and the test predicts that he is in the wrong job is
The probability that the employee is in
the wrong job and the test predicts that he is in the right job is

Answer 1

.105

Explanation:

The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test is then wrong is 0.65*0.3=.195, and the probability that someone is in the wrong job and the test is wrong is 0.35*.3=.105.

Answer 2

A survey shows that the probability that an employee gets placed in a suitable job is 0.65.

So, the probability he is in the wrong job is 0.35.

The test has an accuracy rate of 70%.

So, the probability that the test is inaccurate is 0.3.

Thus, the probability that someone is in the right job and the test predicts it wrong is
`0.65*0.3=0.195`

The probability that someone is in the wrong job and the test is right is
`0.35*0.7=0.245`