In a lot of six batteries, one is worn out. A technician tests the batteries one at a time until the worn out battery is found. Tested batteries are put aside, but after every third test the tester takes a break and another worker, unaware of the test, returns one of the tested batteries to the set of batteries not yet tested. (a) Find the probability distribution for X, the number of tests required to identify the worn out battery. (b) Assume the first test of each set of three tests costs $5, and that each of the next two tests in each set of three tests costs $2. Find the increase in the expected cost of locating the worn out battery due to the unaware worker.

In a lot of six batteries, one is worn out. A technician tests the batteries one at a time until the worn out battery is found. Tested batteries are put aside, but after every third test the tester takes a break and another worker, unaware of the test, returns one of the tested batteries to the set of batteries not yet tested. (a) Find the probability distribution for X, the number of tests required to identify the worn out battery. (b) Assume the first test of each set of three tests costs $5, and that each of the next two tests in each set of three tests costs $2. Find the increase in the expected cost of locating the worn out battery due to the unaware worker.

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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