(Answered) An instructor allows students to take an exam as many times

Management Studies

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	3
2	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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