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 8 9 10 P(X) 0.06 0.26 0.41 0.18 0.03 0.03 0.02 ? (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) = 0.01 (c) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = 0.31 (d) What is the probability that a unit chosen at random has between four and six rooms? P(4