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Sample space S is partitioned into E, and E2 such that P(E,)= 0.70 and P(E2) = 0.30. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.45. a) Find P(D) and P(D') b) Find P(E,|D) and P(E,|D'). c) Find P(E,ID) and P(E2|D'). a) P(D) = (Round to three decimal places as needed.) P(D') =| (Round to three decimal places as needed.) b) P(E, |D) = (Round to three decimal places as needed.) %3D P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) %3D P(E,|D') =| (Round to three decimal places as needed.)

Sample space S is partitioned into E, and E2 such that P(E,)= 0.70 and P(E2) = 0.30. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.45. a) Find P(D) and P(D') b) Find P(E,|D) and P(E,|D'). c) Find P(E,ID) and P(E2|D'). a) P(D) = (Round to three decimal places as needed.) P(D') =| (Round to three decimal places as needed.) b) P(E, |D) = (Round to three decimal places as needed.) %3D P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) %3D P(E,|D') =| (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 E1 and E2 such that ​P(E1​)=0.70 and ​P(E2​)=0.30. Let D be an event such that ​P(D|E1​)=0.35 and P(D|E2​)=0.45.
 
​a) Find​ P(D) and ​P(D′​)
​b) Find P(E1​|D) and ​P(E1​|D′​).
​c) Find ​P(E2​|D) and P(E2​|D′​).
Sample space S is partitioned into E, and E2 such that P(E,)= 0.70 and P(E2) = 0.30. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.45. a) Find P(D) and P(D') b) Find P(E,|D) and P(E,|D'). c) Find P(E,ID) and P(E2|D'). a) P(D) = (Round to three decimal places as needed.) P(D') =| (Round to three decimal places as needed.) b) P(E, |D) = (Round to three decimal places as needed.) %3D P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) %3D P(E,|D') =| (Round to three decimal places as needed.)
Transcribed Image Text:Sample space S is partitioned into E, and E2 such that P(E,)= 0.70 and P(E2) = 0.30. Let D be an event such that P(D|E,)=0.35 and P(D|E2) = 0.45. a) Find P(D) and P(D') b) Find P(E,|D) and P(E,|D'). c) Find P(E,ID) and P(E2|D'). a) P(D) = (Round to three decimal places as needed.) P(D') =| (Round to three decimal places as needed.) b) P(E, |D) = (Round to three decimal places as needed.) %3D P(E, |D') = (Round to three decimal places as needed.) c) P(E2|D) = (Round to three decimal places as needed.) %3D P(E,|D') =| (Round to three decimal places as needed.)
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