A survey of a sample of college students resulted in the following information r
ID: 3158651 • Letter: A
Question
A survey of a sample of college students resulted in the following information regarding their discipline and their selected major.
Selected Major
Selected Major (y)
Selected Discipline (x)
1
2
3
Total
1
40
10
30
80
2
30
20
70
120
Total
70
30
100
200
A) Develop a bivariate probability distribution for discipline and major.Show the table.
B) Compute the expected value and variance for selected discipline, x.
C) Compute the expected value and variance for selected major, y.
Selected Major (y)
Selected Discipline (x)
1
2
3
Total
1
40
10
30
80
2
30
20
70
120
Total
70
30
100
200
Explanation / Answer
A) The bivariate probability distribution for discipline and major is as below:
B) The expected value and variance for selected discipline 1 (and 2) are 80 (120) and 48 (48) respectively.
C) The expected value and variance for selected major 1, 2, and 3 are respectively 70, 30, 100, and 45.5, 23.5, 50.
DisciplineMajor Major 1 Major 2 Major 3 Marginal Discipline 1 0.2 0.05 0.15 0.4 Discipline 2 0.15 0.1 0.35 0.6 0.35 0.15 0.5 1Related Questions
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