There are 1000 juniors in a college. Among the 1000 juniors, 200 students are taking STAT200, and 10

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    There are 1000 juniors in a college. Among the 1000 juniors, 200 students are taking STAT200, and 100 students are taking PSYC300. There are 50 students taking both courses.

    a) What is the probability that a randomly selected junior is taking at least one of these two courses?
    b) What is the probability that a randomly selected junior is taking PSYC300, given that he/she is taking STAT200?

    a) P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.2 + 0.1 - 0.05 = 0.25
    b) P(SYC|STAT) = P(STAT ∩ SYC)/P(STAT) = 0.05/0.2 = 0.25
     

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