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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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A boxcar contains six complex electronic systems. Two of

Chapter 2, Problem 31E

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QUESTION:

Problem 31E

A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective.

a If two of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective.

b If four of the six systems are actually defective, find the probabilities indicated in part (a).

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QUESTION:

Problem 31E

A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective.

a If two of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective.

b If four of the six systems are actually defective, find the probabilities indicated in part (a).

ANSWER:

Step 1 of 3:

Here it is given that a boxcar contains 6 complex electronic systems and two are randomly selected out of six for testing to classify them as defective or not defective.

The total number of ways in which two systems can be randomly selected out of six systems is

=

      =15

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