Please HELP! I am having a hard time and I am confused on how to solve the following : I need some Guidance

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

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 lawLives in a state with no deposit lawRow TotalRecycles beverage bottles139184323Does not recycle beverage bottles69608677Column Total2087921,000

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 thenearest whole percent.)

Percentage of consumers________%