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relative frequency approach

A calculus instructor uses computer aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained. Following is a record of the number of students in a class of 20 who took the test each number of times.

Students Number of tests
10 1
7 2
2 3
1 4

a. Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition.
b. Find the expected value of the number of tests taken.
c. Compute the variance.
d. Compute the standard deviation.

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a. The relative frequency approach requires you to divide the absolut efrequency for each event (for example, the event that 1 test was taken had an absolute frequency of 10) by the total number of observations. In this case, the total number of observations (students) is 20. Therefore, the probability ...

Solution Summary

The relative frequency approach is applied.