Lecture5(09-05-2008)

# Lecture5(09-05-2008) - 36-225 Handout for Lecture...

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Unformatted text preview: 36-225 - Handout for Lecture # 5September 5, 2008Last time....Axioms of Probability1.P(A)≥2.P(S) =13.A∩B=φ=⇒P(A∪B) =P(A) +P(B)If S has an infinite number of outcomes....4.Let A1,A2,A3, ....be events such that Ai∩Aj=φfor each i6=j (pair-wise disjoint), then:P∞[i=1Ai=∞Xi=1P(Ai)Comment:1–3=⇒P(A) =1-P(¯A)(the Complement Rule)1Finding Probabilities of Events - The Sample Point Method•List all the possible outcomes of the experiment.•Assign reasonable probabilities to each outcome.•Find all the sample points in an event of interest, A.•P(A) =sum of the probabilities of the outcomes in A.Example 1:Choose a person at random and record his/her blood type.Example 2:There are five candidates for 2 (identical) positions - 2 males and 3females.Since all 5 are equally qualified, 2 candidates are selected atrandom. What is the probability that this (fair) selection process willappear to discriminatory?...
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Lecture5(09-05-2008) - 36-225 Handout for Lecture...

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