To transfer into a particular technical department, a company requires an employee to pass a screening test. A maximum of 3 attempts are allowed at 6-month intervals between trials. From past records it is found that 40% pass on the first trial; of those that fail the first trial and take the test a second time, 60% pass; and of those that fail on the second trial and take the test a third time, 20% pass. For an employee wishing to transfer:What is the probability that an employee passed the test on either the first or second try?What is the probability of failing on the first 2 trials and passing on the third?What is the probability of failing on all 3 attempts?

To transfer into a particular technical department, a company requires an employee to pass a…

What is the probability that an employee passed the test on either the first or second try? What is the probability of failing on the first 2 trials and passing on the third? What is the probability of failing on all 3 attempts?

What is the probability that an employee passed the test on either the first or second try? What is the probability of failing on the first 2 trials and passing on the third? What is the probability of failing on all 3 attempts?

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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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

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To transfer into a particular technical department, a company requires an employee to pass a screening test. A maximum of 3 attempts are allowed at 6-month intervals between trials. From past records it is found that 40% pass on the first trial; of those that fail the first trial and take the test a second time, 60% pass; and of those that fail on the second trial and take the test a third time, 20% pass. For an employee wishing to transfer:
1. What is the probability that an employee passed the test on either the first or second try?
2. What is the probability of failing on the first 2 trials and passing on the third?
3. What is the probability of failing on all 3 attempts?

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