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Unformatted text preview: bility = 0.3 P(M ∩S )
P(S ) = 80
400
120
400 = 2 , P(W S ) =
3 P(W ∩S )
P(S ) = General
Multiplication Rule 1
3 P(M ∩ S ) = P(S ) × P(M S ) = 0.3 × 2 =
3
0.2, P(W ∩ S ) = P(S ) × P(W S ) = 0.3 ×
P(S M ) = P(S ∩M )
P(M ) = 80
400
200
400 1
3 = 0.1 = 0.4 3.10 Notes Conditional
Probability Example 12 (Example 10 revisit) Notes Using the Venn Diagram summarizing the distribution of
operating systems previously described, calculate the
following:
1 The probability that a randomly chosen student uses
all three operating systems, given the student uses
Windows 2 The probability that a randomly chosen student uses
Windows, given the student uses Mac OS 4 General
Multiplication Rule The probability that a randomly chosen student uses
all three operating systems, given the student does
not use Windows 3 Conditional
Probability The probability that a randomly chosen student does
not use any of the operating systems, given the
student does not use Windows 3.11 Conditional
Probability E...
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This note was uploaded on 01/24/2014 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue.
 Spring '08
 MARTIN
 Conditional Probability, Probability

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