Unformatted text preview: P(n) = N! n!(N " n)! p n (1 " p) N " n . b) Now consider a situation where p << 1 and where one is interested in the case n << N. (This may be the case of emission of α particles by a radioactive source.) Show that the above expression in a) becomes P(n) = " n n! e #" where λ = Np is the mean number of events. This is called the Poisson distribution . (The following approximations will be useful: (1 " p) N " n # e " Np and N! /(N " n)! # N n ). (20) 3. Problem 1, p. 52 of K&K. (20) 4. Problem 2, p. 52 of K&K. (20) 5. Problem 4, p. 53 of K&K....
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 Fall '06
 StevenG.Louie
 Central Limit Theorem, Poisson Distribution, Work, Probability theory, #, random walk problem, S. G. LOUIE

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