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According to the Statistical Abstract of the United States, there are 31.1 millions one-person households, 38.6 millions two-person households, 18.8 millions three-person households, and 27.5 millions four or more person households.

(a) Construct a table of each value of the random variable X, the number of persons in the household, and its estimated probability or frequency.

(b) Compute and interpret P(X = 3) and P(X > 4).

(c) Find the mean, variance and standard deviation for the population of the number of persons per household.

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