(1 point) Let the random vaiable X be the number of rooms in a randomly chosen o

Question

(1 point) Let the random vaiable 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 A 3 45 678 9 10 P(X0.10.290.30.190.030.050.03 (a) ts X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER (b) What must be the protability of choosing a unit with 10 rooms? P(X -10) (c) What is the probability that a unit chosen at random has three rooms? P(X 3) (o) What is the probabiny that a unt chosen at random has less than five rooms? P(x

Explanation / Answer

1.X is Discrete Random Variable.

2.P(X= 10) = 1 - ( 0.1+ 0.29 + 0.3+ 0.19 + 0.03 + 0.05 + 0.03 ) = 1-0.9 = 0.1

3. P(X=3) = 0.1

4. P(X<5) = 0.1+ 0.29 = 0.3

5. P(4< = X <= 6) = 0.29 + 0.3 + 0.19 = 0.78

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