QR Project #3 Congress Version B (1)

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Eastern Gateway Community College *

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105

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Statistics

Date

Jan 9, 2024

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docx

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5

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Project # 3 – Congress(B) HOUSE OF REPRESENTATIVES Political Party Republican Democrat Independent Total Male 170 192 0 362 Female 23 57 0 80 Total 193 249 0 442 SENATE Political Party Republican Democrat Independent Total Male 38 50 1 89 Female 11 24 1 36 Total 49 74 2 125 COMBINED TABLE – CONGRESS - COMBINING HOUSE OF REPRESENTATIVES AND SENATE Political Party Republican Democrat Independent Total Male 208 242 1 451 Female 34 81 1 116 Total 242 323 2 567 These charts are for exercise purposes only. It does not depict the actual numbers represented in the 1
US Government today. Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer. 170+38= 208. 192+50= 242. 0+1=1. 23+11= 34. 57+24= 81. 0+1=1. 193+ 49= 242. 249+ 74=323. 1+1=2. 442+ 125= 567. Please answer the questions below and show your work where applicable. All answers should be proportions rounded to the nearest thousandths (3 decimals) . For Example: this is what is required to be shown if I ask this question – shown is how you are expected to answer: (please note that this is the correct formula and process whenever an or question is asked) Find the probability that a Senate is a Male or a Democrat: 89/125 + 74/125 – 50/125 = 113/125 = .904 1. Find the probability that a randomly selected House of Representative is a male. 362/442=.819 2. Find the probability that a randomly selected Senator is a female. 36/125=.288 3. A House of Representative member is selected at random. Find the probability of each event: a. The representative is a female 2
80/442= .1809 aka .181 b. The representative is an independent. 0/442= 0 c. The representative is a female given that the representative is a Democrat 57/80=.7125 aka .713 d. The representative is female and a Democrat 57/442=.1289 aka .129 4. A Senator is selected at random. Find the probability of each event a. The senator is a female 36/125=.288 b. The senator is not a Republican 74/125=.592 3
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c. The senator is female or a Democrat 36/125+74/125-24/125= .688 d. The senator is a male or a Democrat 89/125+74/125–50/125 = .904 5. Using the same row and column headings, create a combined table for the Congress (template created for you above – you can just fill in the table I already created) 6. A member of Congress is selected at random. Use the combined table to find the probability of each event. a. The member is Independent 2/567.0035 aka .004 b. The member is female and a Democrat 81/567=.1428 aka 143 c. The member is male or a Democrat 451/567+325/567-242/567=.9417 aka .942 4
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