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Finding the Mean, Variance, and Standard
Chapter 4, Problem 31E(choose chapter or problem)
Problem 31E
Finding the Mean, Variance, and Standard Deviation In Exercise, (a) find the mean, variance, and standard deviation of the probability distribution, and (b) interpret the results.
Camping Chairs The number of defects per batch of camping chairs inspected
Defects |
0 |
1 |
2 |
3 |
4 |
5 |
Probability |
0.250 |
0.298 |
0.229 |
0.168 |
0.034 |
0.021 |
Questions & Answers
QUESTION:
Problem 31E
Finding the Mean, Variance, and Standard Deviation In Exercise, (a) find the mean, variance, and standard deviation of the probability distribution, and (b) interpret the results.
Camping Chairs The number of defects per batch of camping chairs inspected
Defects |
0 |
1 |
2 |
3 |
4 |
5 |
Probability |
0.250 |
0.298 |
0.229 |
0.168 |
0.034 |
0.021 |
ANSWER:
Solution:
Step 1 of 2:
The given number of defects per batch of camping chairs inspected is
Defects |
0 |
1 |
2 |
3 |
4 |
5 |
Probability |
0.25 |
0.298 |
0.229 |
0.168 |
0.034 |
0.021 |
a). Here we have to find the mean, variance and standard deviation.
The mean is given by
= 1.501
Hence, mean = 1.501.
The variance is given by
= 0.5633 + 0.0748 + 0.057 + 0.3775 + 0.2123 + 0.2571
= 1.5420
Hence, = 1.5420.
The standard deviation is given by
= 1.2418
Hence, the standard deviation is 1.2418.