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) Among members of the House of Representatives are the events "being Female" and "being a democrat" independent or dependent events? Explain. (B) A senator is selected at random. Find the probability of each event. 1. The senator is Male.  2. The senator is not a Democrat.

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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) Among members of the House of Representatives are the events "being Female" and "being a democrat" independent or dependent events? Explain.

(B) A senator is selected at random. Find the probability of each event.

1. The senator is Male. 

2. The senator is not a Democrat.

3. The senator is Female or a Republican.

4. The senator is Male or a Democrat.

(C) Among members of the Senate, are the events "being female" and "being an Independent" mutually exclusive? Explain.

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