In: Statistics and Probability
DATA: Grades
A- 10 B- 2 C- 1 D- 0 F- 2
Q23. a) If a committee with 2 student members is to be formed, what is the probability of forming a committee with one A grade and one F grade student?
Q24. If a committee with 3 student members is to be formed, what is the probability of forming a committee with two A grade and one B grade student?
Q25.If the records show that, the probability of failing (with grade F) this course is p, what is the probability that at most 2 students out of 15 fail this course? {Hint: use binomial distribution}
Q26.If the records show that, the probability for a student to get a grade B this course is p, what is the probability that exactly 4 students out of 15 will have a grade B for the course? {Hint: use binomial distribution}
Q27.What is the probability of selecting a grade A student for the first time either in 2nd or 3rd selection?