Show work! Suppose we have the following probability distribution for random variable x: x P(x) 5 0.1 10 0.

Show work!

A.   Suppose we have the following probability distribution for random variable x:

 x       P(x)

                        5       0.1

                       10       0.4

                       20       0.4

                       25       0.1

           Question 1:     Calculate the expected value of x.

           Question 2:     Calculate the variance of x.

           Question 3:     Calculate the standard deviation of x.