1. Cal Poly Pomona found that 12% of its students withdraw without completing Calculus I course. Assume that 40 students registered for the course this semester.

(a) Let X be the number of students who withdraw without completing Calculus I this semester. Is X a discrete or continuous random variable?

(b) What distribution does X follow? Justify your answer by checking the necessary requirements.

(c) What is the probability that exactly 6 students will withdraw without completing Calculus I this semester? Leave your answer in four decimal places.

(d) What is the probability that less than 5 students will withdraw without completing Calculus I this semester? Leave your answer in four decimal places.