Discuss the below:
Q1. The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.
A. Compute the variance for this sample. Show your work.
B. Compute the standard deviation for this sample. Show your work.
Q2. Suppose Babsie generated the following probability distribution:
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.
C) Calculate the variance of X.
D) Calculate the standard deviation.