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. 3 4 5 6 7 8 9 10 P(X) 0.07 0.27 0.33 0.17 0.05 0.05 0.04 ? (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 between four and six rooms? P(4 < X < 6) = (d) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = (e) What is the probability that a unit chosen at random has three rooms? P(X = 3) =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Solution:
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Let X be the number of rooms.
From the given information, the probability distribution of X is
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