In a MNC, an employee has to clear the performance evaluation test for three consecutive time to consider him for executive role. The general belief is that 2.76 out of 1500 employee's get executive role in that MNC at that particular time when the test was conducted. The employees can undergo the performance test multiple times. Two sets of tests were done and the employee is referred to the executive role if he tested deserved in all two tests. However, there is 22% chance that the test result is negative even though the employee is a deserved employee. And there is 16% chance that the test results positive for an undeserved employee. Determine the probability of testing the performance evaluation test positive if the employee is deserved for an executive role. Also draw the probability tree whenever necessary.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a MNC, an employee has to clear the
performance evaluation test for three consecutive
time to consider him for executive role. The general
belief is that 2.76 out of 1500 employee's get
executive role in that MNC at that particular time
when the test was conducted. The employees can
undergo the performance test multiple times. Two
sets of tests were done and the employee is referred
to the executive role if he tested deserved in all two
tests. However, there is 22% chance that the test
result is negative even though the employee is a
deserved employee. And there is 16% chance that
the test results positive for an undeserved employee.
Determine the probability of testing the
performance evaluation test positive if the employee
is deserved for an executive role. Also draw the
probability tree whenever necessary.
Transcribed Image Text:In a MNC, an employee has to clear the performance evaluation test for three consecutive time to consider him for executive role. The general belief is that 2.76 out of 1500 employee's get executive role in that MNC at that particular time when the test was conducted. The employees can undergo the performance test multiple times. Two sets of tests were done and the employee is referred to the executive role if he tested deserved in all two tests. However, there is 22% chance that the test result is negative even though the employee is a deserved employee. And there is 16% chance that the test results positive for an undeserved employee. Determine the probability of testing the performance evaluation test positive if the employee is deserved for an executive role. Also draw the probability tree whenever necessary.
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