The contingency table below summarizes a survey of 1,000 bottled beverage consum

Question

The contingency table below summarizes a survey of 1,000 bottled beverage consumers Lives in a state with a deposit law 133 57 190 Lives in a state with no deposit law 188 622 810 Row Total Recycles beverage bottles Does not recycle beverage bottles 321 679 1,000 Column Total Find the following probabilities or percentages (a) Probability that a consumer recycles beverage bottles. (Round your answer to 2 decimal places.) P(Recycles) (b) Probability that a consumer who lives in a state with a deposit law does not recycle. (Round your answer to 2 decimal places.) P(Don't Recycle I Lives in Deposit Law State) (c) Percentage of consumers who recycle and live in a state with a deposit law. (Round your answer to 1 decimal place.) Percentage of consumers (d) Percentage of consumers in states with a deposit law who recycle. (Round your answer to the nearest whole percent.) Percentage of consumers

Explanation / Answer

a)

P(recycles beverage bottles) = n(recycle beverage bottles) / n (total)

= 321 / 1000

= 0.321

b)

p( Don't recycle | lives in deposit law state)

= n( Don't recycle AND lives in deposit law state) / p( lives in deposit law state)

= 57 / 190

= 0.3

c)

percentage of students who recycle AND lives in state with deposite law = 133 / 1000

13.3%

d)

Percentage of consumeres in states with a deposit law who recycles = 133 / 321 * 100

= 41.433%

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