There are four major parties in Canada: Conservative, Green, Liberal, and New Democrat. A survey asked a
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There are four major parties in Canada: Conservative, Green, Liberal, and New Democrat. A survey asked a random sample of Canadians which party they support. From their responses, the following table of probabilities was produced. The Canadian census gives us the proportion of Canadians in each of the four age categories:
P(18–29) = 18%, P(30–44) = 27%, P(45–59) = 26%, P(60 and over) = 29%
Conservative | Green | Liberal | NDP | Other | |
18–29 | .24 | .11 | .37 | .24 | .04 |
30–44 | .31 | .07 | .36 | .23 | .03 |
45–59 | .35 | .07 | .35 | .17 | .06 |
60+ | .43 | .03 | .35 | .14 | .05 |
a. Find the probability that a Canadian prefers the Conservative party.
b. Calculate the probability that a Canadian prefers a party that is not the NDP.
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