Show that it satisfies the required condition for being a probability distribution.
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
|
Show that it satisfies the required condition for being a probability distribution.