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Asked Dec 10, 2019
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6. Let A and B be two events. Suppose that P(A) = 0.4, P(B) = p and P(AUB) = 0.8
(a) For what value of p will A and B be mutually exclusive?
(b) For what value of p will A and B be independent?
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6. Let A and B be two events. Suppose that P(A) = 0.4, P(B) = p and P(AUB) = 0.8 (a) For what value of p will A and B be mutually exclusive? (b) For what value of p will A and B be independent?

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Step 1

(a)

Find the value of p for which A and B are mutually exclusive is obtained b...

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P(A or B)= P(4)+P(B)–P(Aand B) 0.7 = 0.4+ p–0 p= 0.7-0.4 p=0.3

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Basic Probability

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