Age 18-30 31-50 Over 50 Democrat 0.30 0.60 0.50 Republican 0.50 0.35 0.25 = A Independent 0.20 0.05 0.25 The next matrix gives the distribution, by age and sex, of the voting population of this city. Male Female 18-30 5,000 6,000 Age 31-50 10,000 12,000 = B Over 50 12,000 15,000. For this problem, let's make the (highly unrealistic) assumption that within each age group, political preference is not related to gender. That is, the percent is the same as the percentage of Democrat females in this group. (1)Calculate the product AB.
Age 18-30 31-50 Over 50 Democrat 0.30 0.60 0.50 Republican 0.50 0.35 0.25 = A Independent 0.20 0.05 0.25 The next matrix gives the distribution, by age and sex, of the voting population of this city. Male Female 18-30 5,000 6,000 Age 31-50 10,000 12,000 = B Over 50 12,000 15,000. For this problem, let's make the (highly unrealistic) assumption that within each age group, political preference is not related to gender. That is, the percent is the same as the percentage of Democrat females in this group. (1)Calculate the product AB.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 22CT
Related questions
Question
![In a certain city the proportion of voters in each age group who are registered as Democrats, Republicans, or Independents is given by the following matrix.
Age
18-30
31-50
Over 50
0.50
0.25 = A
0.25]
Democrat
Го.30
0.60
Republican
0.50
0.35
Independent
0.20
0.05
The next matrix gives the distribution, by age and sex, of the voting population of this city.
Male Female
18-30
5,000
6,000
Age
31-50
10,000
12,000
= B
Over 50
12,000 15,000
For this problem, let's make the (highly unrealistic) assumption that within each age group, political preference is not related to gender. That is, the percentage of Democrat males in the 18 – 30 group, for example,
is the same as the percentage of Democrat females in this group.
(1)Calculate the product AB.
(2)How many males are registered as Democrats in this city?
(3)How many females are registered as Republicans?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad9f8e24-4eb8-4298-a7e5-da6093095ad5%2Fc5d6bdb2-698f-4075-9438-37443e82f298%2Fgn5u74k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a certain city the proportion of voters in each age group who are registered as Democrats, Republicans, or Independents is given by the following matrix.
Age
18-30
31-50
Over 50
0.50
0.25 = A
0.25]
Democrat
Го.30
0.60
Republican
0.50
0.35
Independent
0.20
0.05
The next matrix gives the distribution, by age and sex, of the voting population of this city.
Male Female
18-30
5,000
6,000
Age
31-50
10,000
12,000
= B
Over 50
12,000 15,000
For this problem, let's make the (highly unrealistic) assumption that within each age group, political preference is not related to gender. That is, the percentage of Democrat males in the 18 – 30 group, for example,
is the same as the percentage of Democrat females in this group.
(1)Calculate the product AB.
(2)How many males are registered as Democrats in this city?
(3)How many females are registered as Republicans?
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