Answered: Let (N, L, P) be a probability space…

Let (N, L, P) be a probability space and H EL with P(H) > 0. For any arbitrary subset, A E L, and define P(AN H) P(H) PH(A) = P(A|H) Then show that (H, LH, PH) is a probability space.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Let (N, L, P) be a probability space and H EL with P(H) > 0. For any arbitrary subset, A E L,
and define
P(AN H)
P(H)
PH (A) = P(A|H) =
Then show that (H, LH, PH) is a probability space.

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