A university cafeteria surveyed its customers for their coffee preferences. The findings are summarized as follows: Do Not Drink Coffee Prefer Regular Coffee Prefer Decaffeinated Coffee Total Female 23 145 69 237 Male 18 196 46 260 Total 41 341 115 497 A student is selected at random from this group. Find the probability that: (e) the student is male, given that the student prefers decaffeinated coffee. (f) the student is female, given that the student prefers regular coffee or does not drink coffee.
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 university cafeteria surveyed its customers for their coffee preferences. The findings are summarized as follows:
|
|
Do Not Drink Coffee |
Prefer Regular Coffee |
Prefer Decaffeinated Coffee |
Total |
|
Female |
23 |
145 |
69 |
237 |
|
Male |
18 |
196 |
46 |
260 |
|
Total |
41 |
341 |
115 |
497 |
A student is selected at random from this group. Find the probability that:
(e) the student is male, given that the student prefers decaffeinated coffee.
(f) the student is female, given that the student prefers regular coffee or does not drink coffee.
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