Suppose that the vote on a recent gun control bill in the US Senate had the following results. Votes on Gun Control Bill Voted in Favor Voted Against Republican 2323 2020 Democrat 4444 77 Other 22 44 If a reporter stops a random senator after the vote, what is the probability that the senator will
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.
Suppose that the vote on a recent gun control bill in the US Senate had the following results.
Votes on Gun Control Bill
| Voted in Favor | Voted Against | |
|---|---|---|
| Republican | 2323 | 2020 |
| Democrat | 4444 | 77 |
| Other | 22 | 44 |
If a reporter stops a random senator after the vote, what is the probability that the senator will either be a Democrat or will have voted for the bill? Express your answer as a simplified fraction or a decimal. Do not round any intermediate calculations.
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