Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find:(a) P(AB) and P(A U B)(c) P(A|B) and P(B|A)(d) P(A/B) and P(Bº|A)(b) P(AB) and P(A U Bº)

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Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: BAO REALT DORI

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 67CR

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Question

Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find:
(a) P(AB) and P(A U B)
(c) P(A|B) and P(B|A)
(d) P(A/B) and P(Bº|A)
(b) P(AB) and P(A U Bº)

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Step 1: Write the given ifnromation.

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Step 2: Find P(A intersection B) and P(A union B).

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Step 3: Find P(A intersection B^c) and P(A union B^c).

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Step 4: Find P(A|B) and P(B|A)

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