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

Ans:

a)Pr(S or P)=Pr(S)+Pr(P)-Pr(S and P)

Pr(S or P)'=Pr(neither S nor P)=1-Pr(S or P)

b)fist find

Pr(S or P)=Pr(S)+Pr(P)-Pr(S and P)

=(600/1500)+(800/1500)-(500/1500)

=(6/15)+(8/15)-(5/15)

=9/15=0.6

Pr(S or P)=0.6

Now,

Pr(neither S nor P)=1-0.6=0.4

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