Suppose Babsie generated the following probabilitydistribution:

X p(x)

5 .25

7 .30

10 .25

12 .05

15 .15

a. Is this probability distribution discrete or continuous? Explain your reasoning.

b. Calculate the expected value of X. Show your work!!

c. Calculate the varianceof X. Show your work!!!

d. Calculate the standard deviation. Show your work!!

The solution provides a brief explanation for the probability distribution and calculations for standard deviation formatted in the attached Word document.