Question

HOUSE OF REPRESENTATIVES

Political Party
	Republican	Democrat	Independent	Total
Male	161	196	0	357
Female	17	59	0	76
Total	178	255	0	433

SENATE

Political Party
	Republican	Democrat	Independent	Total
Male	37	44	2	83
Female	4	13	0	17
Total	41	57	2	100

COMBINED TABLE – CONGRESS COMBINING HOUSE OF REPRESENTATIVES AND SENATE

Political Party
	Republican	Democrat	Independent	Total
Male
Female
Total

Congress if 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 each state has is determined by population. States with larger populations have ore representatives than stats with smaller populations. The total number of representatives is set by law at 435 members. Members of the Senate serve sex-year terms and represent a state. Each state has 2 senators, for a total of 100. The tables show the makeup of the 111^th Congress by gender and political party. There are two vacant seats in the House of Representatives.

Please answer the questions below and SHOW YOUR WORK where applicable.. all answers should be proportions rounded to the nearest thousandths (3 decimals) for instance this is what is required to be shown if I ask and answer the following question:

Find the probability that a Senate is a Male or a Democrat:

83/100   +    57/100     –     44/100     =      96/100   =    .960

1. Find the probability that a randomly selected House of Representative is a female.

2. Find the probability that a randomly selected Senator is a female.

3. A House of Representative member is selected at random. Find the probability of each event:
   1. The representative is a male

2. The representative is a Republican

3. The representative is a male GIVEN that the representative is a Republican

4. The representative is female and a Democrat

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

2. The senator is not a Democrat

3. The senator is female or a Republican

4. The senator is a male or a Democrat

5. Using the same row and column headings, create a combined table for the Congress (template created for you above)

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

1. The member is Independent

2. The member is female and a Republican

3. The member is male or a Democrat

Answer 1

(1)

Question:

Find the probability that a randomly selected House of Representative is a female.

76/433 = 0.176

(2)

Question:

Find the probability that a randomly selected Senator is a female.

17/100 = 0.170

(3)

(a)

Question:

The representative is a male

357/433 = 0.824

(b)

Question:

The representative is a Republican

178/433 = 0.411

(c)

Question:

The representative is a male GIVEN that the representative is a Republican

161/178 = 0.904

(d)

Question:

The representative is female and a Democrat

59/433 = 0.136

(4)

(a)

Question:

1. The senator is a male

83/100 = 0.830

(b)

Question:

The senator is not a Democrat

1 - 57/100 = 0.43

(c)

Question:

The senator is female or a Republican

17/100 + 41/100 - 4/100 = 0.54

(d)

Question:

The senator is a male or a Democrat

83/100   + 57/100 - 44/100 = 0.96

(5)

	Republican	Democrat	Independent	Total
Male	198	240	2	440
Female	21	72	0	93
Total	219	312	2	533

(a)

Question:

The member is Independent

2/533 = 0.004

(b)

Question:

The member is female and a Republican

21/533 = 0.039

(c)

Question:

The member is male or a Democrat

440/533 + 312/533 - 240/533 = 512/533 = 0.961