Answer:
1)
2)
3)
And the variance would be given by:
And the deviation would be:
4)
And the variance would be given by:
And the deviation would be:
Step-by-step explanation:
For this case we have the following distributions given:
Probability M J
0.3 14% 22%
0.4 10% 4%
0.3 19% 12%
Part 1
The expected value is given by this formula:
And replacing we got:
Part 2
Part 3
We can calculate the second moment first with the following formula:
And the variance would be given by:
And the deviation would be:
Part 4
We can calculate the second moment first with the following formula:
And the variance would be given by:
And the deviation would be: