20 politicians are having a tea party. 6 democrats and and 14 Republicans. To prepare they need to choose: 3 people to set the table, 2 people to boil water, 6 people to make scones. Each person can only do one task. (note that this does not add up to 20. The rest of the people don't help.) (a) in how many ways can they choose which people to perform those tasks? (b) suppose democrats all hate tea. If they only give tea to 10 of 20 people, what is the probability that they only give tea to Republicans? (c) if they only give tea to 10 of 20 people, what is the probability that they give tea to 9 Republicans and 1 Democrat?
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.
20 politicians are having a tea party. 6 democrats and and 14 Republicans. To prepare they need to choose: 3 people to set the table, 2 people to boil water, 6 people to make scones. Each person can only do one task. (note that this does not add up to 20. The rest of the people don't help.)
(a) in how many ways can they choose which people to perform those tasks?
(b) suppose democrats all hate tea. If they only give tea to 10 of 20 people, what is the
(c) if they only give tea to 10 of 20 people, what is the probability that they give tea to 9 Republicans and 1 Democrat?
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