L12-09 - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

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10/13/09 Lecture 12 1 STOR 155 Introductory Statistics Lecture 12: Birthday Problem, Prisoner Dilemma, Random Variable The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL
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10/13/09 Lecture 12 2 Review
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10/13/09 Lecture 12 3
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10/13/09 Lecture 12 4
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10/13/09 Lecture 12 5
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10/13/09 Lecture 12 6 Birthday Problem • In a classroom of 45 people, what is the probability that at least two people have the same birthday? • Event A : at least two people have the same birthday out of the 45 people. A C : every person has a different birthday out of the 45 people. P ( A ) = 1 - P ( A C ) = … ( see the board )
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Lecture 12 7 3 Prisoners’ Dilemma • Three prisoners A, B and C are on a death row. The governor decides to pardon one of the three and chooses at random the prisoner to pardon. • He informs the warden of his choice but requests that the name be kept secret for a few days. • The next day, A tries to get the warden to tell him who had been pardoned. • The warden refuses.
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L12-09 - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

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