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
$P(X)$	$0.06$	$0.25$	$0.39$	$0.16$	$0.05$	$0.05$	$0.03$	?

(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 less than five rooms? $P(X<5)$ =

(e) What is the probability that a unit chosen at random is not a 10-room unit? $P(X \neq 10)$ =