Question

1. A CBS News poll conducted January 5, 2017, among a nationwide random sample of 1211 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.

	better	same	worse
Republican	176	96	68
Democrat	180	177	58
none	113	186	157

Use the two-way table above, please answer the following questions. Please enter your answers as reduced fractions.

1. What fraction of all survey respondents identified themselves as affiliated with neither party?   
2. What fraction of all survey respondents thought the economy was getting better?   
3. What fraction of the those affiliated with neither party thought the economy was getting better?   
4. Among all survey respondents who thought the economy was getting better, what fraction were affiliated with neither party?   
5. What fraction of all survey respondents were affiliated with neither party and thought the economy was getting better?   

2. Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.

	18–24	25–34	35–55	55 and over	Total
Liked Crunchicles	33	22	24	63	142
Disliked Crunchicles	56	29	57	38	180
No Preference	3	5	3	67	78
Total	92	56	84	168	40

One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.

What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles?

What is the probability that the selected consumer dislikes Crunchicles
  
What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?

If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

3. Giving a test to a group of students, the grades and gender are summarized below

	A	B	C	Total
Male	10	3	20	33
Female	5	13	9	27
Total	15	16	29	60

If one student is chosen at random,

Find the probability that the student did NOT get an "B"

Answer 1

Following is the table with row and column total:

Answer 1

Fraction of all survey respondents identified themselves as affiliated with neither party = 456/1211

Fraction of all survey respondents identified themselves as affiliated with neither party = 0.3765

Fraction of all survey respondents thought the economy was getting better = 469/1211

Fraction of all survey respondents thought the economy was getting better = 0.3873

Fraction of the those affiliated with neither party thought the economy was getting better = 113/456

Fraction of the those affiliated with neither party thought the economy was getting better = 0.2478

Among all survey respondents who thought the economy was getting better, fraction affiliated with neither party = 113/469 = 0.2409

Fraction of all survey respondents affiliated with neither party and thought the economy was getting better = 113/1211

Fraction of all survey respondents affiliated with neither party and thought the economy was getting better = 0.0933

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