6. There are 1500 juniors in a college. Among the 1500 juniors, 600 students are

Question

6. There are 1500 juniors in a college. Among the 1500 juniors, 600 students are taking STAT200, and 800 students are taking PSYC300. There are 500 students taking both courses. Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. (Show all work. Just the answer, without supporting work, will receive no credit.) (a)Provide a written description of the complement event of (S OR P) (b) What is the probability of complement event of (S OR P)?

Explanation / Answer

a) S OR P includes all juniors who takes only STAT200, takes only PSYC300 and takes both STAT200 and PSYC300. Therefore the complement of (S OR P) is the event a student does not either of the courses

b) P(S OR P)' = P(Neither S nor P) = (1500 - (600 + 800 - 500))/1500 = 600/1500 = 0.4

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