Solution Found!
Refer to Exercise 9.a. Find the mean of the total number
Chapter 2, Problem 10E(choose chapter or problem)
Refer to Exercise 9.
a. Find the mean of the total number of unacceptable bolts (those that are classified as either downgraded or scrap).
b. Find the variance of the total number of unacceptable bolts.
c. Find the probability that the total number of unacceptable bolts is exactly 5.
Questions & Answers
QUESTION:
Refer to Exercise 9.
a. Find the mean of the total number of unacceptable bolts (those that are classified as either downgraded or scrap).
b. Find the variance of the total number of unacceptable bolts.
c. Find the probability that the total number of unacceptable bolts is exactly 5.
ANSWER:Answer
Step 1 of 7
Here given the information about downgraded and scrap bolts
We need to find the mean and variances of unacceptable bolts
Let X is the no. of downgraded bolts
Let Y is the no. of scrap bolts
Total no. of unacceptable bolts= X+Y
The joint probability mass function is
X |
0 |
1 |
2 |
3 |
4 |
PX(X) |
0 |
0.06 |
0.03 |
0.01 |
0.0 |
0.0 |
0.1 |
1 |
0.06 |
0.08 |
0.04 |
0.02 |
0.0 |
0.2 |
2 |
0.04 |
0.05 |
0.12 |
0.06 |
0.03 |
0.3 |
3 |
0.0 |
0.03 |
0.07 |
0.09 |
0.06 |
0.25 |
4 |
0.0 |
0.0 |
0.02 |
0.06 |
0.07 |
0.15 |
Py(Y) |
0.16 |
0.19 |
0.26 |
0.23 |
0.16 |
1 |