The findings from a survey on the coffee preferences of university cafeteria customers is included below. do not drink coffee orefer regular coffee prefer decafe total female 23 145 72 240 male 18 196 46 260 total 41 341 118 500 A university cafeteria customer is randomly selected. Find the (exact) probability that the customer: a) does not drink coffee. b) is male. c) prefers decaf coffee, given that they are male. d) prefers decaf coffee, given that they are female. e) is a female, who prefers regular coffee. f) prefers regular or decaf coffee. g) is male or prefers regular 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.
The findings from a survey on the coffee preferences of university cafeteria customers is included
below.
| do not drink coffee | orefer regular coffee | prefer decafe | total | |
| female | 23 | 145 | 72 | 240 |
| male | 18 | 196 | 46 | 260 |
| total | 41 | 341 | 118 | 500 |
A university cafeteria customer is randomly selected. Find the (exact) probability that the customer:
-
a) does not drink coffee.
-
b) is male.
-
c) prefers decaf coffee, given that they are male.
-
d) prefers decaf coffee, given that they are female.
-
e) is a female, who prefers regular coffee.
-
f) prefers regular or decaf coffee.
-
g) is male or prefers regular coffee.
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