Reference no: EM132422245

Given the following probability distribution, what is the expected value of the random variable X?

X P(X)

100 .10

150 .20

200 .30

250 .30

300 .10

Sum 1.00

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

Lives in a state with a deposit law Lives in a state with no deposit law Row TotalRecycles beverage bottles 139   184   323 Does not recycle beverage bottles 69   608   677 Column Total 208   792   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 | 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   ________   %