A social scientist claims that only 50 percent of all high school seniors capable of doing college

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A social scientist claims that only 50 percent of all high school seniors capable of doing college work actually go to college. Assuming that this claim is true, use Table I to find the probabilities that among 18 high school seniors capable of doing college work
(a) Exactly 10 will go to college;
(b) At least 10 will go to college;
(c) At most 8 will go to college.
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