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Binomial Distribution, Example 2
Assume that the population of interest is the population of all adult (at least 18 years old) males
in the U. S.
Assume that a certain proportion, p, of this population are over 6 feet tall, where
0
≤
p
≤
1.
We will select a random sample of 10 people from this population, and ask each
person in the sample, “Are you over 6 feet tall?”
Is this a binomial experiment?
Why or why not?
i)
The experiment consists of 10 trials.
ii)
The trials are identical to each other, since each trial consists of randomly selecting a
member from the population and asking the person whether he is over 6 feet tall.
iii)
The trials are independent of each other, due to random sampling.
iv)
Each trial has two possible outcomes:
Success = {person selected says he is over 6
feet tall} or Failure = {person selected says he is not over 6 feet tall}.
v)
P(Success) = p for each trial, due to random sampling.
Let X = number of people in the sample who are over 6 feet tall.
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 Fall '10
 Staff
 Statistics, Binomial

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