QR Project #3 Congress Version B (1)
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Eastern Gateway Community College *
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105
Subject
Statistics
Date
Jan 9, 2024
Type
docx
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Uploaded by KidElectronGazelle13
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
5
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