The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions...
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
| Admissions | Probability |
| 1,100 | .6 |
| 1,400 | .3 |
| 1,300 | .1 |
Click here for the Excel Data File
-
What is the expected number of admissions for the fall semester?
- Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Homework Answers
| x | P(x) | xP(x) | x2P(x) |
| 1100 | 0.6000 | 660.0000 | 726000.00 |
| 1400 | 0.3000 | 420.0000 | 588000.00 |
| 1300 | 0.1000 | 130.0000 | 169000.00 |
| total | 1210.0000 | 1483000.00 | |
| E(x) =μ= | ΣxP(x) = | 1210.00 | |
| E(x2) = | Σx2P(x) = | 1483000.00 | |
| Var(x)=σ2 = | E(x2)-(E(x))2= | 18900.00 | |
| std deviation= | σ= √σ2 = | 137.48 |
1) expected number of admissions for the fall semester =1210
2) variance =18900
stndard deviation =137.48
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The director of admissions at Kinzua University in Nova Scotia
estimated the distribution of student admissions...
The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions...
The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions.Admissions Probability1,000 .61,200 .31,500 .1
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5.3
5.4
6.4
8.3
5.8
7.5
4.7
6.8
5.9
5.7
6.7
6.6
7.6
6.8
7.3
4.6
6.4
5.8
6.8
4.3
9.3
5.2
8.1
7.1
7.4
7.4
7.4
5.3
5.5
8.3
6.1
7.8
5.5
6.1
7.7
6.5
6.4
4.2
5.2
6.8
7.7
5.5
5.3
4.6
6.4
4.9
7
4.9
5.8
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