c1 ) A political researcher inspects the voter poll of three states. In New York

Question

c1 ) A political researcher inspects the voter poll of three states. In New York, %90 of Voters support the Democratic candidate, in Taxes, %27 of the Voters support the democratic candidate, and in South Carolina, %58 of the voters support the democratic candidate. The researcher then looks at the total population of the three states and finds that 65% live in New York, %7 live in Taxes, and 28% live in South Carolina. if a voter supported the Democratic candidate, what is the probability they live in south Carolina? a.0.76 b. 0.21c.0.03 d.0.15

2 ) While playing blackjack with you friends, you decided to raise the stakes if you the dealer, win, each of your friends $5, if one of your friends win, Then you pay the winner $15. If the probability of one of your friends winning is p=.25, then how much can you expect to win or lose in the long run!?

3) A researcher records the number of apples purchased by customers at a grocery store. He finds that the probability that a customer purchased zero apples is p = .7, one apple is p = .28 , two apples is p = .50 , and three apple is p = .15 . How many apples can the researcher expect a customer to purchase per day in the long run?

a-more than one apple per day / b.one apple per day c. less than one apple per day d. none of these

Explanation / Answer

c1) If this happens then

%90 of Voters support the Democratic candidate, in Taxes,
%27 of the Voters support the democratic candidate,
and in South Carolina, %58 of the voters support the democratic candidate.

The researcher then looks at the total population of the three states and finds that
65% live in New York, %7 live in Taxes, and 28% live in South Carolina.

So, P( lives in South Carolina| voter supports Demo candidate)

= (.58*.28)/(.90*.65+ .07*.27+.58*.28)

= 0.21

b) is the right option

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