Question

In: Statistics and Probability

Given P(A) = 0.6, P(B) = 0.5, P(A | B) = 0.3, do the following. (a)...

Given P(A) = 0.6, P(B) = 0.5, P(A | B) = 0.3, do the following. (a) Compute P(A and B).

(b) Compute P(A or B).

Solutions

Expert Solution

We have,

           P(A) = 0.6           P(B) = 0.5           P(A/B) = 0.3

(a) Consider,

           P(A and B)

                                            By definition of conditional probability

                           

                           

    Hence, P(A and B) = 0.15

(b) Consider,

             P(A or B)

                                    By Addition theorem

                           

                           

    Hence, P(A or B) = 0.95


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