Problem 9. (7 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 10 P(X) 0.06 0.24 0.41 0.19 0.04 0.03 0.02 ? (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 four rooms or seven room? P(X = 4 or X = 7) = Note: Enter your answers with 2 decimal places. Note: You can earn partial credit on this problem.Problem 3. (7 points) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with M = 8.1 inches and o = 1 inches. (a) Find the probability that the length of a chosen fish was greater than 11.1 inches: (b) Find the probability that the length of a chosen fish was between 7.1 and 11.1 inches: Remark: Round your answers to 4 decimal places. Note: You can earn partial credit on this