Suppose that the vote on a recent tax bill in the US Senate had the following results. Votes on Tax Bill: Voted in Favor Voted Against Republican 25 18 Democrat 46 5 Other 4 2 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.
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 tax bill in the US Senate had the following results.
Votes on Tax Bill:
| Voted in Favor | Voted Against | |
|---|---|---|
| Republican | 25 | 18 |
| Democrat | 46 | 5 |
| Other | 4 | 2 |
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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