A survey examined how many bags of garbage per week a household put out on avera

Question

A survey examined how many bags of garbage per week a household put out on average as well as how many times per month they recycle on average. These are the results: What percentage of the households either have fewer than 3 bags of garbage per week or recycle at least once a month? Round your answer to 4 decimals. What percentage of the households that have no more than 2 bags of garbage per week recycle at least 2 times per month? Round your answer to 4 decimals. What is the probability that a household has more than 2 bags of garbage per week if they recycle at least twice a month on average? Round your answer to 4 decimals.

Explanation / Answer

a) Number of bags with fewer than 3 bags of garbage per week or recycle at least onece a month:

= 219 + 454 + 26 + 3 = 702

b) % of households that have no more than 2 bags of garbage per week who recycles at least 2 times a month

= ( people who recycle at least 2 times a month and who have no more than 2 bags of garbage per week ) / ( People who have no more than 2 bags of garbage per week )

= (154 + 167)*100 / ( 219 + 454 )

= 32100/ 673

= 47.6969%

c) Probability that a household has more than 2 bags of garbage per week provided they recycle at least twice a month on average

= number of households with more than 2 bags of garbage per week and recycle at least twice a month / number of households who recycle at least twice a month

= 3 / (3 + 167 + 154 )

= 0.0093

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