A student is preparing for an upcoming exam. The professor for the course has given the class 20 questions to study from and plans to select 5 of the questions at random for use on the actual exam. Suppose that the student knows how to solve 17 of the 20 questions. Let X represent the number of question the student answers correctly on the test.
(A) What is the probability distribution of X? Why? Be sure to specify the values of all necessary parameters.
(B) What is the probability that the student will get perfect on the test?
(C) What is the probability that the student will get at least 4 questions correct on the test?