Question
Congress is made up of the House of Representatives and the Senate . The tables below show a fictitious Congress by gender and political party.
Congress is made up of the House of Representatives and the Senate. The tables below show a fictitious Congress by gender and political party. The numbers themselves aren't as important as combining them into a table and figuring out probabilities.
Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer.
HOUSE OF REPRESENTATIVES
Political Party | ||||
Republican | Democrat | Independent | Total | |
Male | 159 | 189 | 0 | 348 |
Female | 16 | 61 | 0 | 77 |
Total | 175 | 250 | 0 | 425 |
SENATE
Political Party | ||||
Republican | Democrat | Independent | Total | |
Male | 34 | 49 | 3 | 86 |
Female | 6 | 17 | 0 | 23 |
Total | 40 | 66 | 3 | 109 |
COMBINED TABLE - CONGRESS - COMBINING HOUSE OF REPRESENTATIVES AND SENATE
Political Party | ||||
Republican | Democrat | Independent | Total | |
Male | ||||
Female | ||||
Total |
Please answer the questions below and show your work where applicable. All answers should be rounded to the nearest thousandth (3 decimals). The example problem below is a good way for you to show your calculations on these problems.
Find the probability that a Senate is a Male or a Democrat:
86/109 + 66/109 - 49/109 = 103/109 = .945
- Fill in the "Combined Table" above for Congress.
- A House of Representative member is selected at random. Find the probability of each event:
- The representative is a male
- The representative is a Republican
- The representative is male and Republican
- Why is your answer to part c) less than your answers to parts a) and b)? Explain.
- The representative is male orrepublican?
- Why is your answer to part e) greater than your answers to parts a) and b)? Explain.
- The representative is a male given that the representative is a Republican
- A Senator is selected at random. Find the probability of each event
- The senator is a male
- The senator is not a Republican
- The senator is female or a Democrat
- The senator is a male or a Democrat
- A member of Congress is selected at random. Use the combined table to find the probability of each event.
- The member is Independent
- The member is female and a Republican
- The member is male or a Democrat
- The member is female given they are a Democrat
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