Holmes Institute conducted a survey about International Students in Melbourne. The survey results are given in the table below. i. Prepare a joint probability table ii. Given that a student applied to more than 1 university, what is the probability that the student is 24-26 years old. iii. Is the number of universities applied to independent of student age? Explain
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.
Holmes Institute conducted a survey about International Students in Melbourne. The survey results are given in the table below.
i. Prepare a joint probability table
ii. Given that a student applied to more than 1 university, what is the probability that the student is 24-26 years old.
iii. Is the number of universities applied to independent of student age? Explain
| Age group | Applied to more than 1 university | |
| yes | no | |
| 23 and under | 207 | 201 |
| 24-26 | 299 | 379 |
| 27-30 | 185 | 268 |
| 31-35 | 66 | 193 |
| 36 and over | 51 | 169 |
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