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).

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

orchestra answered 10 months ago

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