Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector

Chapter 6, Problem 84

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QUESTION:

Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector says are telling the truth. (a) Find P(Y 10). How is this related to P(X 2)? Explain. (b) Calculate mY and sY. How do they compare with mX and sX? Explain why this makes sense.

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QUESTION:

Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector says are telling the truth. (a) Find P(Y 10). How is this related to P(X 2)? Explain. (b) Calculate mY and sY. How do they compare with mX and sX? Explain why this makes sense.

ANSWER:

Step 1 of 4

From Exercise 82,

The probability of lie detector suggesting a person is deceptive when a test is given to a truthful persons = 0.2

No. of job applicants,

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

Given,

Event: Y = the number of people who the lie detector says are telling the truth

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

 

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