use the normal distribution to approximate a discrete probability distribution. As it happens, the normal distribution becomes
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Question:
use the normal distribution to approximate
a discrete probability distribution. As it happens, the normal distribution becomes an
increasingly better approximation to the binomial distribution as n infty
a Consider a binomial random variable X where n and p What is the
probability that X
b Lets approximate this random variable X with Y Normalnp npq where q
p Notice that Y has the same mean and variance as X As an approximation
to the true probability that X found in part a what is the probability that
Y in
c Why did we select an interval to approximate the precise event where X
d What is the relative error of this probability?
Related Book For
Elementary Statistics Picturing The World
ISBN: 9780321911216
6th Edition
Authors: Ron Larson, Betsy Farber
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