What is the percentage of customers in states with a deposit law wh recycle
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
![The contingency table below summarizes a survey of 1,000 bottled
beverage consumers.
Lives in a state
L.
with a deposit law
142
wit
Recycles beverage bottles
Does not recycle beverage bottles
Column Total
heght,
me
62
204
Find the following probabilities or percentages:
(a) Probability that a consumer recycles beverage bottles. (Round your
answer to 2 decimal places.)
PRecycles)
G34
(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)
30]
(c) Percentage of consumers who recycle and live in a state with a
deposit law. (Round your answer to 1 decimal place.)
14,2 %
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5ce7534-59ca-460f-b63d-1de5b1ebd643%2F756ae391-180f-484a-afaf-4564be539805%2Fkoj5ejc_processed.jpeg&w=3840&q=75)
The summarized data of 1000 bottled beverage consumers is obtained as:
| Categories | Lives in a state with a deposit law |
| Recycles beverage bottles | 142 |
| Does not Recycles beverage bottles | 62 |
| Total | 204 |
To find : The percentage of consumers in states with a deposit law who recycle
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