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An instructor allows students to take an exam as many times as needed until the student obtains a passing grade. The following is a record of the number of students in a class of 20 who took the test and the number of tests taken in order to obtain a passing grade.
Students
Number of Tests
9
1
6
2
3
4
1. Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition.
2. Find the expected value of the number of tests taken.
3. Compute the variance.
4. Compute the standard deviation.
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