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 1,000 0.3 1,200 0.1 1,500 0.6 Click here for the Excel Data File a. What is the expected number of admissions for the fall semester? b. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 | |
| 1,000 | 0.3 |
| 1,200 | 0.1 |
| 1,500 | 0.6 |
Click here for the Excel Data File
a. What is the expected number of admissions for the fall semester?
b. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
From the data:
| Admissions (x) | Probability P(x) | x P(x) | |
| 1000 | 0.3 | 300 | 300000 |
| 1200 | 0.1 | 120 | 144000 |
| 1500 | 0.6 | 900 | 1350000 |
| Total=1320 | Total=1794000 |
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