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.
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
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.
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