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