# Probability Distribution: Expected Value and Variance of Discrete Random Variables

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Suppose Babsie generated the following probability distribution:

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 variance of X. Show your work!!!

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

https://brainmass.com/statistics/central-tendency/189100

#### Solution Summary

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

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