Find the expected value of each random variable. Explain why this difference makes sense.

a2linetagadaW

a2linetagadaW

Answered question

2021-08-08

In government data, a household consists of all occupants of a dwelling unit, while a family consists of 2 or more persons who live together and are related by blood or marriage. So all families form households, but some households are not families. Here are the distributions of household size and family size in the United States.
Number of people1234567 Household   probability 0.250.320.170.150.070.030.01 Family   probability 00.420.230.210.090.030.02
Let H = the number of people in a randomly selected U.S. household and F = the number of people in a randomly chosen U.S. family. Find the expected value of each random variable. Explain why this difference makes sense.

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-08-09Added 93 answers

Household: μ = 2.6 Family: μ = 3.14
We note that the mean number of people in a family (3.14) is greater than the mean number of people in a houschold (2.6), which makes sense as all families have at least 2 people and all households have at least 1 person.

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