Problem 3. Suppose I give you a list of 20 problems to study, from which I will randomly pick 14 questions for your first midterm exam. For whatever reason, you prepare for the midterm exam by completing and understanding how to solve 11 questions of the 20, so there are 9 questions you do not know how to solve.

a)Can you identify the underlining probability model?

Binomial

Negaitve Binomal

Hypergeometric

Poisson

b) What is the probability that you completely solve 8 of the 14 questions appearing on the midterm exam?

c)To pass the midterm, you must correctly solve at least half of the 14 questions. What is the probability of you passing the midterm exam?