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What is the probability of randomly selecting a republican

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Suppose that 31% of Democrats and 63% of Republicans support building more nuclear power plants in the United States. Now suppose that there are 40 Republicans and 35 Democrats in one room.

a. What is the probability of randomly selecting a Republican from this room?

b. What is the probability of randomly selecting a Democrat from this room?

c. What is the probability of randomly selecting a Republican who supports building more nuclear power plants?

d. What is the probability of randomly selecting a Democrat who supports building more nuclear power plants?

e. What is the probability of randomly selecting one Democrat and one Republican who both support building more nuclear power plants?

f. What is the probability of randomly selecting two Republicans who do not support building more nuclear power plants?

Suppose that 2% of convicted felons are in fact innocent.

a. If a person is convicted of a felony, what is the probability that he is guilty?

b. If two people are convicted of felonies, what is the probability that both are guilty?

c. If three people are convicted of felonies, what is the probability that all three are guilty?

d. If four people are convicted of felonies, what is the probability that all four are guilty?

Reference no: EM132464341

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