Solution Found!
Let X represent the number of tires with low air pressure
Chapter 2, Problem 4E(choose chapter or problem)
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
- Which of given three functions is a possible probability mass function of X.
- For the possible mass function,we have to compute E(x) and V(X).