SOLUTION: In a binomial distribution, the mean and the standard deviation were found to be 36 and 4.8 respectively. Find the parameters of binomial distribution.

Question 835844: In a binomial distribution, the mean and the standard deviation were found to be 36 and 4.8 respectively. Find the parameters of binomial distribution.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a binomial distribution, the mean and the standard deviation were found to be 36 and 4.8 respectively. Find the parameters of binomial distribution.
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Equations:
np = 36
sqrt(npq) = 4.8
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Solve for "n" and for "p"::
sqrt(36q) = 4.8
6sqrt(q) = 4.8
sqrt(q) = 0.8
q = 0.64
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The p = 1-0.64 = 0.36
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Solve for "n":
np = 36
n*0.36 = 36
n = 100
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Cheers,
Stan H.
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