Let X represent the number of tires with low air pressure

Chapter 2, Problem 4E

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QUESTION:

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 \(\mu_{X}\) and \(\sigma_{X}^{2}\).

Equation Transcription:

Text Transcription:

p_1(x)

p_2(x)

p_3(x)

mu_X

mu_X^2

Questions & Answers

QUESTION:

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 \(\mu_{X}\) and \(\sigma_{X}^{2}\).

Equation Transcription:

Text Transcription:

p_1(x)

p_2(x)

p_3(x)

mu_X

mu_X^2

ANSWER:

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).


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