Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender: Plans 4-year college 198 2-year college 36 Military Work 14 Gender Other 16 Male Female 4 176 36 1 5 If the data are going to be summarized by computing the marginal distribution of plans after high school, what would be the entry for "4-year college"? O 0.529 O 0.739 Ở 0.765 O 374 Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender: Plans 4-year college 198 Work 14 Gender 2-year college 36 Military Other Male 4 16 Female 176 36 1 If the data are going to be summarized by computing the conditional distributions of plans after high school for male and female high school students, what would be the entry for "male" and "2-year college"? O 0.074 O 0.134 O 0.5 O 39.46
Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender: Plans 4-year college 198 2-year college 36 Military Work 14 Gender Other 16 Male Female 4 176 36 1 5 If the data are going to be summarized by computing the marginal distribution of plans after high school, what would be the entry for "4-year college"? O 0.529 O 0.739 Ở 0.765 O 374 Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender: Plans 4-year college 198 Work 14 Gender 2-year college 36 Military Other Male 4 16 Female 176 36 1 If the data are going to be summarized by computing the conditional distributions of plans after high school for male and female high school students, what would be the entry for "male" and "2-year college"? O 0.074 O 0.134 O 0.5 O 39.46
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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O the conditional distribution of opinion given gender
13. Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender:
Plans
4-year college
198
2-year college
36
Military
4
Work
14
Gender
Other
Male
16
Female
176
36
1
3
5
If the data are going to be summarized by computing the marginal distribution of plans after high school, what would be the entry for "4-year college"?
O 0.529
O 0.739
O 0.765
O 374
14. Prior to graduation, a high school class was surveyed about their plans after high school. The table below displays the results by gender:
Plans
Gender
4-year college
2-уear college
Military
Work
Other
Male
198
36
4
14
16
Female
176
36
3
5
If the data are going to be summarized by computing the conditional distributions of plans after high school for male and female high school students, what would be the entry for "male" and "2-year college"?
O 0.074
O 0.134
O 0.5
O 39.46
15. A business has two.types of employees: managers and workers. Managers earn either $100,000 or $200,000 per year. Workers earn either $10,000 or $20,000 per year. The number of male and female managers at
each salary level and the number of male and female workers at each salary level are given in the table below:
Managers
Workers
Gender
Gender
Male
Female
Income
S100,000 80
$200,000 20
Female
Income
$10,000
$20,000
Male
30
20
20
30
20
80
What is the proportion of male managers who make $200,000 per year?
O 0.067
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Expert Solution
Step 1
13. First let us complete the table by calculating the totals.
| Plans | ||||||
| Gender | 4-year college | 2-year college | Military | Work | Other | Total |
| Male | 198 | 36 | 4 | 14 | 16 | 268 |
| Female | 176 | 36 | 1 | 3 | 5 | 221 |
| Total | 374 | 72 | 5 | 17 | 21 | 489 |
Total number of people with plans for 4-year college = 374
Total number of people surveyed = 489
Hence the marginal distribution for people with plans for 4-year college after high school;
Correct option is 0.765
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