1. For the probability function
|
X:
|
1
|
2
|
3
|
4
|
5
|
|
P(x):
|
.15,
|
.2,
|
.3,
|
.2,
|
.15
|
determine the mean, the variance, and P(X ≤ µ).
2. For the probability function
|
X:
|
1
|
2
|
3
|
4
|
5
|
|
P(x):
|
.1,
|
.25,
|
.3,
|
.25,
|
.1
|
would you expect the variance to be larger or smaller than the variance associated with the probability function used in the previous exercise? Verify your answer by computing the variance for the probability function given here.