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Unformatted text preview: with mean life of 5000 hours. And Ping has used his laptop for 3000 hours, what is the probability that laptop will last for another 6000 hours. Ping Ma Lecture 14 Fall 2005 3 Example : Customers arrive at Staples according a Poisson distribution with mean rate 1/3 per minute. On Thanksgiving morning, Staples opens 5:00am in the Morning. The first 10 customers will get a free flash drive. Let W denote the waiting time until the 10 th customer comes in. What is the cumulative distribution function of W. F(w)=P(W<w) =1P(W>w) =1P(fewer than 10 customers come in between 0 and w minutes) =1∑ =9 3 1 ! ) 3 1 ( k w K k e w Ping Ma Lecture 14 Fall 2005 4 Gamma function dy e y t y t ∫ ∞= Γ 1 ) ( = Γ ) ( n Gamma distribution θ α / 1 ) ( 1 ) ( x e x x fΓ = ∞ < ≤ x Ping Ma Lecture 14 Fall 2005 5 ...
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 Fall '05
 TBA
 Statistics, Normal Distribution, Probability theory, Staples, Ma Lecture

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