Download Chapter 8 - The Binomial Probability Distribution

Chapter 8 - The Binomial
Probability Distribution
Math 22
Introductory Statistics
Binomial Probability Experiment
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Logic behind the Binomial distribution
Bernoulli Population - A population in
which each element is one of two
possibilities. The two possibilities are
usually designated as success and failure.
Bernoulli Trial - Observing one element
in a Bernoulli population.
Binomial Probability Experiment
An experiment that consists of n repeated
independent Bernoulli trials in which the
probability of success on each trial is 
and probability of each failure is 1 - .
 is the prob. of success and will not be
associated with 3.1415....
Combination Formula
n
n!
  
 k  k!(n  k )!
Binomial Probability Experiment
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P(success)+P(failure) = 1
The Binomial Probability Function is given by:
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n k
nk
P( x  k )    (1   )
k

n represents the number of trials
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k represents the number of successes
represents the prob. of success
1- represents of prob. of failure
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Mean and Standard Deviation of
the Binomial Distribution
Mean  n
Standard Deviation  n (1   )