Let the random variable X be the number of rooms in a randomly chosen owner- occupied housing unit in a certain city. The probability distribution function for the units is given below.

X 3 4 5 6 7 8 9 10

Pr(X) 0.05 0.26 0.41 0.19 0.04 0.03 0.01 ?

(a) Find Pr(X =10), the probability of randomly choosing a unit with 10 rooms.

(b) Find Pr(X>5), the probability that a unit chosen at random has more than 5 rooms.

(c) Find Pr(4<_X<_6), the probability that a unit chosen at random has between four and six rooms.

(d) Find Pr(X =3), the probability that a unit chosen at random has three rooms.