Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P(A₁) = 0.41. If E is an event in S with P (E | A₁) =0.13 and P(E | A₂) = 0.12, compute_P (E) =? (Hint: Because A₁ and A2 are mutually exclusive and form a complete partition of the sample space, P(A₂) = 1- P (A₁)). Note: If your final answer has up to four decimal places, please enter your full answer without rounding it. If your answer contains more than four decimal places, please round it to four decimal places before entering it in the box below.

Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P(A₁) = 0.41. If E is an event in S with P (E | A₁) =0.13 and P(E | A₂) = 0.12, compute_P (E) =? (Hint: Because A₁ and A2 are mutually exclusive and form a complete partition of the sample space, P(A₂) = 1- P (A₁)). Note: If your final answer has up to four decimal places, please enter your full answer without rounding it. If your answer contains more than four decimal places, please round it to four decimal places before entering it in the box below.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 38E

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