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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Lie detectors A federal report finds that lie detector tests given to truthful persons

Chapter 6, Problem 82

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QUESTION:

Lie detectors A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the person is deceptive.12 A company asks 12 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 12 answer truthfully. Let X = the number of people who the lie detector says are being deceptive. (a) Find and interpret mX. (b) Find and interpret sX

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QUESTION:

Lie detectors A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the person is deceptive.12 A company asks 12 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 12 answer truthfully. Let X = the number of people who the lie detector says are being deceptive. (a) Find and interpret mX. (b) Find and interpret sX

ANSWER:

Step 1 of 3

Given,

The probability of lie detector suggesting a person is deceptive when a test is given to a truthful persons,

No. of job applicants,

Event: X = the number of people who the lie detector says are being deceptive

Let’s determine the mean and standard deviation of X:

 

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