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 10P(X) 0.1 0.24 0.33 0.17 0.05 0.05 0.04 ?(a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS)ANSWER:(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 more than 5 rooms? P(X > 5) =(d) What is the probability that a unit chosen at random has three rooms? P(X=3) =(e) What is the probability that a unit chosen at random has between four and six rooms? P(4 \leq X \leq 6)