What are the mean and standard deviation of a binomial

untchick04tm 2022-01-17 Answered
What are the mean and standard deviation of a binomial probability distribution with n=15 and p=717?
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enhebrevz
Answered 2022-01-17 Author has 25 answers
The mean is μ=np=105176,176 and the standard deviation is
σ=np(1p)=542171.906.
Explanation: If X is a binomial random variable, counting the number of successes in n independent trials (where the only two outcomes are success and failure), with constant probability of success p on each trial, the mean of X is μ=np and the standard deviation is np(1p).
In the present case, note that
np(1p)=157171017=1050289=2542289=54217
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Jillian Edgerton
Answered 2022-01-18 Author has 34 answers
μ=np
7170.41
=15*0.41
=6.15
σ2=np(1p)
=15*0.41(1-0.41)
=3.6
σ=σ2=3.6=1.9
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