Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. X 3 4 5 6 7 8 9 10 P(X) 0.05 0.23 0.43 0.15 0.04 0.05 0.04 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = (c) What is the probability that a unit chosen at random has three rooms? P(X = 3) = = (d) What is the probability that a unit chosen at random is not a 10-room unit? P(X 10) = (e) What is the probability that a unit chosen at random has less than five rooms? P(X