Question

The contingency table below summarizes a survey of 1,000 bottled beverage consumers. Recycles beverage bottles Does not recycle beverage bottles Column Total Lives in a state with a deposit law 136 69 205 Lives in a state with no deposit law 196 599 795 Row Total 332 668 1,000 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 1 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 0 % (d) Percentage of consumers in states with a deposit law who recycle. (Round your answer to the nearest whole percent.) Percentage of consumers D %

Answer 1

-= 0.332 = 10.33) 2052 5366) 332 (a) P(Recyclex) = 32 1000 (6) PC Dout Recycle / Lives in Deposit Lawstate = 69 70.3366) 0-34 (o percentage at Consumers which meile and live in state with deposit law. = 136 _x100= [66-34% (66.34% 205 (d) percentagect Congmers in state with a depasit law whore cycles. = 136 x100= [4 % 332

Answer 2

a) 0.32 ( probablity = no. of consumers who recycle beverage bottles / total no. of consumers

= 321/ 1000 = 0.32 )

b) 0.30 ( probablity = no. of consumers who do not recycle beverage bottles and live in a state with deposit law / total   no. of consumers who lives in state with deposit law

    = 57/ 190 = 0.30 )

c) 13.3  ( probablity = no. of consumers who recycle beverage bottles and live in a state with deposit law / total no. of consumers $\times$ 100

    = 133/ 1000 = 13.3 )

d) 70 ( probablity = no. of consumers who recycle beverage bottles and live in a state with deposit law / total no. of consumers who live in a state with deposit law $\times$ 100

    = 133/ 190 $\times$ 100 = 70 )