5.1 Given the following probability distributions:
a. Compute the expected value for each distribution.
b. Compute the standard deviation for each distribution. c. Compare
the results of distributions A and B.
Distribution A |
Distribution B |
|||||
xi |
P1X = xi2 |
xi |
P1X = xi2 |
|||
0 |
0.07 |
0 |
0.50 |
|||
1 |
0.08 |
1 |
0.20 |
|||
2 |
0.15 |
2 |
0.15 |
|||
3 |
0.20 |
3 |
0.08 |
|||
4 |
0.50 |
4 |
0.07 |
For Distribution A,
For Distribution B,
c.
We observe that the expected value for distribution A is greater than that for distribution B.
Another observation is that the standard deviations of the two distributions are equal.
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