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Probability distribution for student survey

100 students in a statistics class were asked if they believed that all tests on the Monday following the football game win over their rival should be postponed automatically. The results were:

Strongly agree: 40
Agree: 30
Neutral: 20
Disagree: 10
Strongly disagree: 0

Numeric scale for each category is as follows:

Strongly agree = 5
Agree = 4
Neutral = 3
Disagree = 2
Strongly disagree = 1

a. Transform this into a numeric score, using the following random variable scale, and find a probability distribution for the results.

b. Let X = the numeric score. Compute the expected value of X.

c. Compute the variance and standard deviation for the random variable X.

Solution Summary

A solution that offers a response to a statistics question explaining the probability distribution for 100 students in a class.