Question

Data set: 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 96, 92

Suppose we have assigned grades for the 15 (student) scores in our data.

The grade count is as follows:

A – 11 students

B – 2 students

C – 1 student

D – 0 students

F – 1 student

1. If a committee with 2 student members is to be formed, what is the probability of forming a committee with one grade A and one F grade student?
2. If a committee with 3 student members needs to be formed, what is the probability of forming a committee with 2 A grade students and one B grade student?
3. If the records show that the probability of failing (with grade F) for this course is 1/15, what is the probability that at most 2 students fail this course. Hint: use binomial distribution.
4. If the records show that the probability for a student to get a grade B for this course is 2/15, what is the probability that exactly 4 students out of the 15 will have a grade B for this course? Hint: use binomial distribution.

Answer 1