(1 point) Find the mean, variance and standard deviation for the probability distribution given below: X 5 4 8 10 P()() 0.586 0.148 0.216 0.05 A. Mean = B. Variance = C. Standard Deviation = (1 point) Let the random variable X be the number of rooms in a randomly chosen owneroccupied 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) 0.10.210.44 0.17 0.03 0.03 0.01 ? (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 between four and six rooms? P(4 S X S 6) = (c) What is the probability that a unit chosen at random is not a 10room unit? P(X 9E 10) = (d) What is the probability that a unit chosen at random has less than five rooms? P(X 5) Probability = C.P(X