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Sample space S is partitioned into E, and E2 such that P(E,) = 0.40 and P(E2) = 0.60. Let D be an event such that P(DJE,)= 0.35 and P(D|E2) = 0.65. a) Find P(D) and P(D') b) Find P(E,|D) and P(E, D'). c) Find P(E,ID) and P(E,ID'). ..... a) P(D) = (Round to three decimal places as needed.) P(D')= (Round to three decimal places as needed.) b) P(E, |D) =O (Round to three decimal places as needed.) P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) P(E2D') = (Round to three decimal places as needed.)

Sample space S is partitioned into E, and E2 such that P(E,) = 0.40 and P(E2) = 0.60. Let D be an event such that P(DJE,)= 0.35 and P(D|E2) = 0.65. a) Find P(D) and P(D') b) Find P(E,|D) and P(E, D'). c) Find P(E,ID) and P(E,ID'). ..... a) P(D) = (Round to three decimal places as needed.) P(D')= (Round to three decimal places as needed.) b) P(E, |D) =O (Round to three decimal places as needed.) P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) P(E2D') = (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Sample space S is partitioned into E, and E2 such that P(E,)= 0.40 and P(E2) = 0.60. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.65. a) Find P(D) and P(D') b) Find P(E,|D) and P(E, |D'). c) Find P(E,ID) and P(E,ID'). ..... a) P(D) = (Round to three decimal places as needed.) P(D')= (Round to three decimal places as needed.) b) P(E, ID) = (Round to three decimal places as needed.) P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) P(E2|D') = (Round to three decimal places as needed.)
Transcribed Image Text:Sample space S is partitioned into E, and E2 such that P(E,)= 0.40 and P(E2) = 0.60. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.65. a) Find P(D) and P(D') b) Find P(E,|D) and P(E, |D'). c) Find P(E,ID) and P(E,ID'). ..... a) P(D) = (Round to three decimal places as needed.) P(D')= (Round to three decimal places as needed.) b) P(E, ID) = (Round to three decimal places as needed.) P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) P(E2|D') = (Round to three decimal places as needed.)
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