Suppose that events A and B are mutually exclusive with P(A) = 1 2 and P(B) = 1 6 . (Enter your answers as fractions.) (a) Are A and B independent events? Explain how you know. Since the events are...

Suppose that events A and B are mutually exclusive with

P(A) =

and

P(B) =

(Enter your answers as fractions.)

(a)

Are A and B independent events? Explain how you know.

Since the events are mutually exclusive we know

P(A|B) =

which

P(A)

and thus the events are .

(b)

Are A and B complementary events? Explain how you know.

We know that

P(A) + P(B) = .

And, since

P(A) + P(B)

1, the events A and B complementary events.

Jun 09, 2022

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