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A citizen's action committee against nuclear power is comprised of 4 Democrats, 8 Republicans, and 3 Conservatives. If one person is randomly selected from this committee:

1). A citizen's action committee against nuclear power is comprised of 4 Democrats, 8 Republicans, and 3 Conservatives. If one person is randomly selected from this committee:

a. find the probability of selecting a Democrat.
b. find the probability of selecting a Democrat or a Republican.

2). An automobile manufacturer has a new model that they claim gets at least 27 miles per gallon. A consumer testing agency selects 50 of these cars and finds that the sample mean is 25 miles per gallon and the variance for this sample is 9 miles per gallon. Is the manufacturer's claim accurate? (alpha =
0.05)

3). In a certain college, the men play various sports in the following proportions:
- Football = 60% of all men - Basketball = 50% of all men
- Both Football and Basketball = 30% of all men

If a man is randomly selected for an interview, what is the chance he will:
a. Play football or basketball?
b. Play neither sport?

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