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 for each state is determined by population. The total of representatives is set by law at 435. Members of the senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators.                                         House of Representatives                                                                                                     Political Party    Republican      Democrat      Independent      Total        218                  129                     0                  347     Male        23                    65                      0                     88     Female        241                  194                    0                   435     Total                                        Senate                             Political Party   Republican      Democrat      Independent      Total        47                      30                     2                    79    Male        5                        16                     0                   21     Female       52                      46                     2                   100    Total   (A) Find the probability that a randomly selected representative is female. Find the probability that a randomly selected senator is female.   (B) Compare the probabilities from question A   (C) A representative is selected at random. Find the probability of each event. 1. The representative is male.

Question

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 for each state is determined by population. The total of representatives is set by law at 435. Members of the senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators.

 

                                      House of Representatives

                                                 

                                                  Political Party 

  Republican      Democrat      Independent      Total

       218                  129                     0                  347     Male

       23                    65                      0                     88     Female

       241                  194                    0                   435     Total

 

                                     Senate

                            Political Party

  Republican      Democrat      Independent      Total 

      47                      30                     2                    79    Male

       5                        16                     0                   21     Female

      52                      46                     2                   100    Total

 

(A) Find the probability that a randomly selected representative is female. Find the probability that a randomly selected senator is female.

 

(B) Compare the probabilities from question A

 

(C) A representative is selected at random. Find the probability of each event.

1. The representative is male.

2. The representative is a Republican.

3. The representative is male given that the representative is a republican.

4. The Representative is Female and a Democrat.

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: The following table shows the results of an analysis of variance comparing three treatment condition...

A: Click to see the answer

Q: A researcher suspects that the actual prevalence of generalized anxiety among children and adolescen...

A: It is given that the previously reported prevalence of generalized anxiety disorder among children a...

Q: The assets (in billions of dollars) of the four wealthiest people in a particular country are 42, 29...

A: a.   From the given information,   Sample Mean for each sample (42,29) 35.5 (42,14) ...

Q: Weight Height110 64123 63110 64134 71129 64129 62123 65115 64.5122 68.5120 65.5111 64115 64117 63107...

A: For the Given Information: Regression analysis using Excel and the output is as follows:

Q: A package of documents needs to be sent to a given destination, and delivery within one day is impor...

A: Click to see the answer

Q: Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator...

A: The null and alternative hypothesis are as follows: Ho : Workers with automatic dispensers are not s...

Q: In the 1992 presidential election, Alaska's 40 election districts averaged 2118 votes per district f...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ar...

Q: 1. Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey ...

A: Given information- 1- Independent random sample of boys. 2 – Independent random sample of girls. Now...

Q: The test scores of 40 students are listed below. Find P56- Find the percentile for the test score of...

A: The given sorted data set is, 30, 35, 43, 44, 47, 48, 54, 55, 56, 57, 59, 62, 63, 65, 66, 68, 69, 69...