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posted by  Alive34 on 11/6/2009 11:05:49 AM  |  status: Closed  |  Earned Karma: 25

statistics

Course Textbook Chapter Problem Needs by
Statistics and Probability Introduction to Statistics, edition 3, ray orrange N/A N/A 11/6/2009 at 7:00:00 PM
Question Details:
A mail-order company receives an average of five orders per 500 solicitations. If it sends out 100 advertisements, find the probability of receiving at least two orders. Use the Poisson distribution.
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posted by Jonpp on 11/6/2009 3:58:33 PM  |  status: Live
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p= 5/500= 0.01
Using binomial distribution approximate the Poisson distribution.
X~Poisson(λ=n*p=100*0.01=1)

P(X>=2)=1-P(X=0)-P(X=1)=1-exp(-1)-exp(-1)=0.2642
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