1. The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.

A. Compute the variancefor this sample. Show your work.

B. Compute the standard deviationfor this sample. Show your work.

2. Suppose Babsie generated the following probabilitydistribution:

X P(X)

5 0.25

7 0.3

10 0.25

12 0.05

15 0.15

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.

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

It is an Discrete Probability distribution. Since X takes a single values with …

This solution provides steps to calculate variance and standard deviation for two different problems.