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 0.36 0.19 0.04 0.05 0.03 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (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 is not a 10-room unit? P(X + 10) =

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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 0.36 0.19 0.04 0.05 0.03 ?
(a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS)
ANSWER: DISCRETE
(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 is not a 10-room unit? P(X + 10) =
(d) What is the probability that a unit chosen at random has between four and six rooms? P(4 < X < 6) =
(e) What is the probability that a unit chosen at random has less than five rooms? P(X < 5) =
Transcribed Image Text: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 0.36 0.19 0.04 0.05 0.03 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: DISCRETE (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 is not a 10-room unit? P(X + 10) = (d) What is the probability that a unit chosen at random has between four and six rooms? P(4 < X < 6) = (e) What is the probability that a unit chosen at random has less than five rooms? P(X < 5) =
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