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(d) From (c), show that properly normalized (e) Calculate the mean and variance

(d) From (c), show that properly normalized (e) Calculate the mean and variance

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answe d and e

6. The probability W (n) that an event characterized by a probability p occurs n times in N trials was shown by binomial distribution NI (N − n)! (c) From (b) show it reduces to W (n) Nn N! n!(N-n)! Consider the situation where the probability p is small and n<<N (a) Show that (1-p)-ne-p (b) Show that W(n)= p"(1 p)N-n where λ = Np (d) From (c), show that properly normalized (e) Calculate the mean and variance λ" n! 04
Transcribed Image Text:6. The probability W (n) that an event characterized by a probability p occurs n times in N trials was shown by binomial distribution NI (N − n)! (c) From (b) show it reduces to W (n) Nn N! n!(N-n)! Consider the situation where the probability p is small and n<<N (a) Show that (1-p)-ne-p (b) Show that W(n)= p"(1 p)N-n where λ = Np (d) From (c), show that properly normalized (e) Calculate the mean and variance λ" n! 04
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