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-COMBING HOUSE OF REORESENTATIVES AND SENATE Political Party Republican Democrat Independent Total Male Female Total Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two year terms and represent a district in a state. The number of representatives each state has is determined by population. States with larger populations have more representatives than states with smaller populations. The total number of representatives is set by law at 435 members. Members of the Senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100. The tables show the makeup of the 111th Congress by gender and political party. There are two vacant seats in the House of Representatives. Must show calculations/formula forcredit. Any answer given with no calculations shown will result in no credit for that answer. 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:86/109 + 66/109 – 49/109 = 103/109 = .9451. (1) Find the probability that a randomly selected House of Representative is a female. 2. Find the probability that a randomly selected Senator is a female. 3. A House of Representative member is selected at random. Find the probability of each event: (a).The representative is a male. (b). The representative is a Republican (c).The representative is a male given that the representative is a Republican (d). The representative is female and a Democrat 4. A Senator is selected at random. Find the probability of each event (a).The senator is a male (b). The senator is not a Democrat. (c).The senator is female or a Republican. (d). The senator is a male or a Democrat 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. (b). The member is female and a Republican. (c).The member is male or a Democrat

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-COMBING HOUSE OF REORESENTATIVES AND SENATE Political Party Republican Democrat Independent Total Male Female Total Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two year terms and represent a district in a state. The number of representatives each state has is determined by population. States with larger populations have more representatives than states with smaller populations. The total number of representatives is set by law at 435 members. Members of the Senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100. The tables show the makeup of the 111th Congress by gender and political party. There are two vacant seats in the House of Representatives. Must show calculations/formula forcredit. Any answer given with no calculations shown will result in no credit for that answer. 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:86/109 + 66/109 – 49/109 = 103/109 = .9451. (1) Find the probability that a randomly selected House of Representative is a female. 2. Find the probability that a randomly selected Senator is a female. 3. A House of Representative member is selected at random. Find the probability of each event: (a).The representative is a male. (b). The representative is a Republican (c).The representative is a male given that the representative is a Republican (d). The representative is female and a Democrat 4. A Senator is selected at random. Find the probability of each event (a).The senator is a male (b). The senator is not a Democrat. (c).The senator is female or a Republican. (d). The senator is a male or a Democrat 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. (b). The member is female and a Republican. (c).The member is male or a Democrat

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

100%

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-COMBING HOUSE OF REORESENTATIVES AND SENATE

Political Party
	Republican	Democrat	Independent	Total
Male
Female
Total

Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two year terms and represent a district in a state. The number of representatives each state has is determined by population. States with larger populations have more representatives than states with smaller populations. The total number of representatives is set by law at 435 members. Members of the Senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100. The tables show the makeup of the 111th Congress by gender and political party. There are two vacant seats in the House of Representatives.

Must show calculations/formula forcredit. Any answer given with no calculations shown will result in no credit for that answer.

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:86/109 + 66/109 – 49/109 = 103/109 = .9451.

(1) Find the probability that a randomly selected House of Representative is a female.

2. Find the probability that a randomly selected Senator is a female.

3. A House of Representative member is selected at random. Find the probability of each event:

(a).The representative is a male.

(b). The representative is a Republican

(c).The representative is a male given that the representative is a Republican

(d). The representative is female and a Democrat

4. A Senator is selected at random. Find the probability of each event

(a).The senator is a male

(b). The senator is not a Democrat.

(c).The senator is female or a Republican.

(d). The senator is a male or a Democrat

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.

(b). The member is female and a Republican.

(c).The member is male or a Democrat

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