5.19 According to data from U.S Energyinformation Administration, the 60.0 milli
ID: 2950762 • Letter: 5
Question
5.19
According to data from U.S Energyinformation Administration, the 60.0 million U.S. households withpersonal computers were distributer as shown here with regard togeographic location and access to the internet. The entriesrepresent millions of households. What is the probability that arandomly selected computer household would be in the categorydescribed by (South or Midwest or yes)? In the category (West andno)?
Region
Access to Internet?
Northeast
Midwest
South
West
yes
9.7
11.8
16.9
12.2
50.6
no
1.2
2.3
3.8
2.1
9.4
10.9
14.1
20.7
14.3
60
Region
Access to Internet?
Northeast
Midwest
South
West
yes
9.7
11.8
16.9
12.2
50.6
no
1.2
2.3
3.8
2.1
9.4
10.9
14.1
20.7
14.3
60
Explanation / Answer
We have to be careful of overlap here and not double-counting thesame residences. N(South + Midwest + yes) = N(South) + N(Midwest) + N(Yes) - N(Southand yes) - N(Midwest and yes) = 20.7 + 14.1 + 50.6 - 16.9 - 11.8 = 56.7 56.7 / 60 = 94.5% N(West and no) = N(West) + N(No) - N(West and No) = 14.3 + 9.4 -2.1 = 21.6 21.6/60 = 36%
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