Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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

  1. Fill in the "Combined Table" above for Congress.
  2. A House of Representative member is selected at random. Find the probability of each event:
    1. The representative is a male

  1. The representative is a Republican

  1. The representative is male and Republican

  1. Why is your answer to part c) less than your answers to parts a) and b)? Explain.

  1. The representative is male orrepublican?
  2. Why is your answer to part e) greater than your answers to parts a) and b)? Explain.

  1. The representative is a male given that the representative is a Republican

  1. A Senator is selected at random. Find the probability of each event
    1. The senator is a male

  1. The senator is not a Republican

  1. The senator is female or a Democrat

  1. The senator is a male or a Democrat

  1. A member of Congress is selected at random. Use the combined table to find the probability of each event.

  1. The member is Independent

  1. The member is female and a Republican

  1. The member is male or a Democrat

  1. The member is female given they are a Democrat

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Introductory Real Analysis

Authors: A N Kolmogorov, S V Fomin, Richard A Silverman

1st Edition

0486134741, 9780486134741

More Books

Students also viewed these Mathematics questions

Question

Do not go, wait until I come

Answered: 1 week ago

Question

Pay him, do not wait until I sign

Answered: 1 week ago