i will rate. answer correctly. Suppose A, B and C are events satisfying the following equationsP(BU C|A) = P(B|A)P(C|A) andP(BU C|A°) = P(B|A°)P(C|A°) .%3DShow that if A and C are independent, then so are B and C.

Given Suppose A, B and C are events satisfying the following equations Show that if A and C are…

Answered: Suppose A, B and C are events…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 24E

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The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.5 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.2. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person either has high blood pressure or is a runner or both. A)0.2 B)0.6 C)0.7 D)0.9 E) 0.5 F)None of the above.

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Suppose A, B and C are events satisfying the following equations P(BU C|A) = P(B|A)P(C|A) and P(BUC|A°) = P(B|A°)P(C|A°) . %3D Show that if A and C are independent, then so are B and C.