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# Let X represent the number of tires with low air pressure

ISBN: 9780073401331 38

## Solution for problem 4E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

Let X represent the number of tires with low air pressure on a randomly chosen car.

a. Which of the three functions below is a possible probability mass function of X? Explain.

b. For the possible probability mass function, compute μX and .

Step-by-Step Solution:

Solution:

Step 1 of 3:

Let X denote the number of tires with low air pressure on a randomly chosen car.

 X 0 1 2 3 4 0.2 0.2 0.3 0.1 0.1 (x) 0.1 0.3 0.3 0.3 0.2 (x) 0.1 0.2 0.2 0.4 0.1

We have to find

1. Which of given  three functions is a possible probability mass function of X.
2. For the possible mass function,we have to compute E(x) and V(X).

Step 2 of 3

Step 3 of 3

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Let X represent the number of tires with low air pressure