Question

In: Statistics and Probability

The Census Bureau gives this distribution for the number of people in American households in a...

The Census Bureau gives this distribution for the number of people in American households in a certain year.

Family Size	Proportion
1	0.29
2	0.34
3	0.15
4	0.13
5	0.06
6	0.02
7	0.01

Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7.)

(a)

This is also the probability distribution for the size of randomly chosen households. The expected value of this distribution is the average number of people in a household. What is this expected value?

people

(b)

Suppose you take a random sample of 1,000 American households. About how many of these households will be of size 2?

households

About how many of these households will be of sizes 3 to 7?

households

(c)

Based on your calculations in part (b), how many people are represented in your sample of 1,000 households? (Hint: The number of individuals in your sample who live in households of size 7 is 7 times the number of households of size 7. Repeat this reasoning to determine the number of individuals in households of sizes 1 to 6. Add the results to get the total number of people represented in your sample.)

people

Calculate the probability distribution for the household size lived in by individual people. (Round your answers to four decimal places.)

Family Size	Proportion
1
2
3
4
5
6
7

Describe the shape of this distribution. What does this shape tell you about household structure? (Round your mean to one decimal place.)

The distribution is ---Select--- left skewed symmetric right skewed , with a median of and a mean of around people.

Expert Solution

Distribution

It is negatively skewed

Median is less than mean

Excel calculaitons are as follows

orchestra answered 1 year ago

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