AU23 Project 3

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Chandler-Gilbert Community College *

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Course

MTH105

Subject

Political Science

Date

Jan 9, 2024

Type

docx

Pages

3

Uploaded by DrMusic10845

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Project 3 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. SENATE Political Party Republican Democrat Independent Total Male 34 47 3 84 Female 6 15 0 21 Total 40 62 3 105 HOUSE OF REPRESENTATIVES Political Party Republican Democrat Independent Total Male 159 189 0 348 Female 16 61 0 77 Total 175 250 0 425 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 Senator is a Male or a Democrat: 84/109 + 62/109 – 47/109 = 99/105 = 0.943 1. Fill in the “Combined Table” above for Congress. 2. A Senate member is selected at random. Find the probability of each event: a. The senator is a male b. The senator is a Republican c. The senator is male and Republican d. Why is your answer to part c) less than your answers to parts a) and b)? Write a sentence to explain your thinking. e. The senator is male or Republican? f. Why is your answer to part e) greater than your answers to parts a) and b)? Write a sentence to explain your thinking. g. The senator is a male given that the representative is a Republican 3. A member of the House of Representatives is selected at random. Find the probability of each event: a. The representative is a male
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