MATH 221 NOTES 5 SP 10

MATH 221 NOTES 5 SP 10 - MATH 221 Week5 Student Name...

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MATH 221 Statistics for Decision - Making Lecture Notes     Week 5 Normal Probability Distributions Student Name         The typical statistical probability distributions include: Discrete Probability Distributions Binomial Distribution Geometric Distribution Poisson Distribution Continuous Probability Distributions Exponential Probability Distribution  Normal Distribution Some of the above distributions involve the number  e   which is utilized to often  approximate a discrete probability distribution where the number of trials  n   is a large  number. The Poisson Approximation to the Binomial The Poisson Probability Distribution can be used to approximate the Binomial  Distribution, when  n   is large and  p   is small such that  n      100 and  n p    <   10 .   Exercise 1 Check whether the values  n    =   500 and  p    =   0.002 satisfy the rules of thumb for using  the Poisson approximation to the binomial distribution. Exercise 2 Check whether the values  n    =   100 and  p    =   0.10 satisfy the rules of thumb for using  the Poisson approximation to the binomial distribution. Exercise 3 © Copyright 2010 by P.E.P. 1
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MATH 221 Statistics for Decision - Making Lecture Notes     Week 5 Normal Probability Distributions Student Name         Determine the Poisson probability of obtaining exactly   x    =   10 successes in  n    =   150  independent trials with the probability of a single success denoted by  p   =   0.05 . The Normal Distribution Another well - known probability distribution is known as the " normal " distribution. The normal distribution is often referred to as the Gaussian distribution, in honor of Karl  F. Gauss, who derived its equation while studying errors in repeated measurements of  the same quantity.
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