What are the mean and standard deviation of a binomial

zgribestika

zgribestika

Answered question

2022-01-19

What are the mean and standard deviation of a binomial probability distribution with n=94 and p=3237?

Answer & Explanation

Buck Henry

Buck Henry

Beginner2022-01-19Added 33 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=943237=81.2
As q=13237=537,npq=943237537=437940=3.3
Hence mean is 81.2 and standard deviation is 3.3
intacte87

intacte87

Beginner2022-01-20Added 42 answers

The formula for the population mean is \mu = n*p, so therefore we get:
μ=np
=943237
=81.2
On the other hand, the variance is computed using the following formula: σ2=np(1p). Therefore, the calculation goes like:
σ2=np(1p)
=943237(13237)
=11.3
σ=σ2=11.3=3.3

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