Problem 3. (14 points) 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 0.21 0.42 0.2 0.04 0.04 0.03 ? (a) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = (b) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = Note: Enter your answers with 2 decimal places. Note: You can earn partial credit on this