The following table shows 1000 nursing school applicants classified according to score made on a college entrance examination and the quality of high school which they graduated as rated by their educators Score Quality of high schools Total Poor (P) Average (A) Superior (S) Low (L) 105 60 55 220 Medium (M) 70 175 145 390 High (H) 25 65 300 390 Calculate the following probabilities P(A) P(H) P(M) P(A/H) P(M∩P) P(H/S)
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.
Q 1. The following table shows 1000 nursing school applicants classified according to score made on a college entrance examination and the quality of high school which they graduated as rated by their educators
|
Score |
Quality of high schools |
|
Total |
|
|
Poor (P) |
Average (A) |
Superior (S) |
||
|
Low (L) |
105 |
60 |
55 |
220 |
|
Medium (M) |
70 |
175 |
145 |
390 |
|
High (H) |
25 |
65 |
300 |
390 |
Calculate the following probabilities
- P(A)
- P(H)
- P(M)
- P(A/H)
- P(M∩P)
- P(H/S)
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