Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose P(S) = 0.4, P(C) = 0.3, and P(S ∩ C) = 0.2.
a. Find the probability that a student has taken statistics, chemistry, or both.
b. Find the probability that a student has taken neither statistics nor chemistry.
c. Find the probability that a student has taken statistics but not chemistry.