Problem 1: Another nearby town, Marketon, has so far avoided the disease. But its weekend market it coming up, and Etherly usually sends some merchants to market. Marketon doesn't want to refuse entirely (the apples from Etherly are a knockout) but also doesn't want to risk too much. They agree to allow three people from Etherly to bring the entire town's wares to Marketon for market. Obviously no one who's feeling sick will go. There are 300 adults who live in Etherly, including 50 are already feeling sick. Unfortunately, unknown to all of them (and to Marketon) there are 30 asymptomatic adult carriers of the disease in Etherly. How likely is it that one or more of the three people who travel to market in Marketon are asymptomatic carriers?
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.
Problem 1:
Another nearby town, Marketon, has so far avoided the disease. But its weekend market it coming up, and Etherly usually sends some merchants to market. Marketon doesn't want to refuse entirely (the apples from Etherly are a knockout) but also doesn't want to risk too much. They agree to allow three people from Etherly to bring the entire town's wares to Marketon for market. Obviously no one who's feeling sick will go.
There are 300 adults who live in Etherly, including 50 are already feeling sick. Unfortunately, unknown to all of them (and to Marketon) there are 30 asymptomatic adult carriers of the disease in Etherly. How likely is it that one or more of the three people who travel to market in Marketon are asymptomatic carriers?
Problem 2:
Unfortunately, it turns out that two of the three people from Etherly who are at market at Marketon are asymptomatic carriers of the disease. The sickness is passed with
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