1. A student is preparing for an upcoming midterm exam. The professor gives the student 40 practice questions and plans to select 12 of the questions at random to create the midterm exam. Suppose the student knows how to correctly answer 34 of the 40 questions. Let X represent the number of questions the student answers correctly on thee exam.
A) What is the probability distribution of X?
B) What is the probability that the student will know how to answer at least 10 questions on the exam?
2. Suppose the waiting time to be served at a “drive thru” follows an exponential distribution with a mean of 3.2 minutes.
A) What is the probability a randomly chosen customer will wait more than 5 minutes to be served?
B) Find a time such that 90% of all customers are served within that time.
