Please answer the following statistic questions:
1) A baseball player has a 50% chance of hitting the ball each time at bat, with successive times at bat being independent. Calculate the probability that he gets his third hit on his sixth time at bat. (Please answer to 4 decimals of accuracy.)
2) At a party of 15 men and 15 women, 4 of the men and 5 of the women are smokers. If two men and two women are randomly selected, approximately what is the probability that all four are smokers? (Please answer to 3 decimal places).
3) Suppose P(A) = 0.6, P(B) = 0.7 . Are A and B disjoint?
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