With reference to Exercise 5.44, suppose that the percentage had been 51 instead of 50. Use a suitable table or a computer printout of the binomial distribution with n = 18 and θ = 0.51 to rework the three parts of that exercise.
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.