There are 1000 juniors in a college. Among the 1000 juniors, 300 students are ta

Question

There are 1000 juniors in a college. Among the 1000 juniors, 300 students are taking STAT200, and 150 students are taking PSYC300. There are 50 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

Part-a

Complement of (S or P) is the event that the student is neither taking STAT200 nor the PSYC300 course.

Part-b

We have P(S or P)=P(S)+P(P)-P(SP)

=300/1000+150/1000-50/1000

=(300+150-50)/1000

=400/1000

=0.4

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