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Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P (A₁) = 0.48. If E is an event in S with P (E | A₁) =0.25 and P(E|A₂) = 0.09, compute P(A₁ | E) =? (Hint: Because A₁ and A2 are mutually exclusive and form a complete partition of the sample space, P (A₂) = 1 – P (A₁) ).

Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P (A₁) = 0.48. If E is an event in S with P (E | A₁) =0.25 and P(E|A₂) = 0.09, compute P(A₁ | E) =? (Hint: Because A₁ and A2 are mutually exclusive and form a complete partition of the sample space, P (A₂) = 1 – P (A₁) ).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P(A₁) =0.48. If E is an event in S with P (E| A₁) =0.25 and P(E|A₂) = 0.09, compute P(A₁ | 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.
Transcribed Image Text:Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P(A₁) =0.48. If E is an event in S with P (E| A₁) =0.25 and P(E|A₂) = 0.09, compute P(A₁ | 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.
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