Let the random variable ? 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.   ? 3 4 5 6 7 8 9 10 ?(?) 0.09 0.23 0.40 0.17 0.04 0.04 0.02 ? (a) Is ? a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) What must be the probability of choosing a unit with 10 rooms??(X=10) (c) What is the probability that a unit chosen at random has between four and six rooms? ?(4≤?≤6) (d) What is the probability that a unit chosen at random has less than five rooms? ?(?<5) (e) What is the probability that a unit chosen at random has three rooms? ?(?=3)

MATLAB: An Introduction with Applications
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Let the random variable ? 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.

 

? 3 4 5 6 7 8 9 10
?(?) 0.09 0.23 0.40 0.17 0.04 0.04 0.02 ?

(a) Is ? a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS)
ANSWER:

(b) What must be the probability of choosing a unit with 10 rooms??(X=10)

(c) What is the probability that a unit chosen at random has between four and six rooms? ?(4≤?≤6)

(d) What is the probability that a unit chosen at random has less than five rooms? ?(?<5)

(e) What is the probability that a unit chosen at random has three rooms? ?(?=3)

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