Problem 1: Let X be the random variable with the following probability distribution:
|
Random variable X
|
Probability
|
|
1
|
0.15
|
|
2
|
0.10
|
|
3
|
0.05
|
|
4
|
0.30
|
|
5
|
0.15
|
|
6
|
0.05
|
|
7
|
0.20
|
a. What is the expected value of the probability distribution?
b. What is the variance of the probability distribution?
c. What is the standard deviation of the probability distribution?