Question

The 2010 U.S. Census found the chance of a household being a certain size, the data is in the table. Size of household 1 Person (26.7%),2 Person (33.6%), 3 Person (15.8%), 4 Person (13.7%), 5 Person (6.3%), 6 Person (2.4%), 7 or more (1.5%) a) Is it unusual for a household to have six people in the family? b) If you did come upon many families that had six people in the family, what would you think?

Answer 1

Size of household. Probability
1 26.7%
2 33.6%
3 15.8%
4 13.7%
5. 6.3%
6. 2.4%
7 or more. 1.5%

a) Is it unusual for a household to have six people in the family?
answer :
x : number of people in a population.
To determine this, you need to look the probability of x being six or more people or the probability of x being six or less people

P(x≤6) =1- P(x>6) = 1 - P(x= 7 or more)
= 1 - 0.015
= 0.985 = 98.5%
Since this probability is more than 5% then six is not an unusually low value.

P(x≥6) = P(x=6) + P(x = 7 or more)
= 2.4% + 1.5%
= 3.9%
Since this probability is less than 5% then six is an unusually high value . It is unusual for a household to have six people in the family.

b) If you did come upon many families that had six people in the family, what would you think?
answer :
You may be think you are in a location where families are Lager than other locations or you may think that either the size of families is increasing from what it was.