Lecture3

# 7 conditional probability 03 pm s ps 80 400 120 400

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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.

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