At a soup kitchen, a social worker gathers the following data. Of those visiting the kitchen, 59 percent are men, 32 percent are alcoholics, and 21 percent are male alcoholics. What is the probability that a random male visitor to the kitchen is an alcoholic?
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.
At a soup kitchen, a social worker gathers the following data. Of those visiting the
kitchen, 59 percent are men, 32 percent are alcoholics, and 21 percent are male
alcoholics. What is the probability that a random male visitor to the kitchen is an
alcoholic?
(b) During a study of auto accidents, the Highway Safety Council found that 60 percent
of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at
night and are alcohol-related.
(a) What is the probability that an accident was alcohol-related, given that it occurred
at night?
(b) What is the probability that an accident occurred at night, given that it was
alcohol-related?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
