What are the mean and standard deviation of a binomial

Quentin Johnson 2022-01-19 Answered
What are the mean and standard deviation of a binomial probability distribution with n=12 and p=35?
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Expert Answer

reinosodairyshm
Answered 2022-01-19 Author has 36 answers
Explanation:
Mean of a binomial probability distribution is given by np and standard deviation is given by npq, where q=1-p.
In the given example, np=1235=7.2,
As q=135=25,npq=123525=1572=625=1.697
Hence mean is 7.2 and standard deviation is 1.697
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Elois Puryear
Answered 2022-01-20 Author has 30 answers
The formula for the population mean is μ=np, so therefore we get:
μ=np
=1235
=7.2
On the other hand, the variance is computed using the following formula: σ2=np(1p). Therefore, the calculation goes like:
σ2=np(1p)
=1235(135)
=2.88
And finally, taking square root to the variance we get that the population standard deviation is:
σ=σ2=2.88=1.697
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