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Talja [164]
3 years ago
15

Answer? I’m struggling

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

a. 3\frac{11}{12}

b.\frac{4}{3}

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If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
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The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at brainly.com/question/22881926

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