What are the mean and standard deviation of a binomial probability distribution with n=8 and...

Talamancoeb

Talamancoeb

Answered

2022-01-18

What are the mean and standard deviation of a binomial probability distribution with n=8 and p=729?

Answer & Explanation

psor32

psor32

Expert

2022-01-18Added 33 answers

mean=5629
standard deviation=47729
Explanation:
Given Binomial Probability Distribution
mean=np=8729=5629
standard deviation=np(1p)=87292229=47729
Thomas White

Thomas White

Expert

2022-01-19Added 40 answers

μ=np
=8729
=1.92
On the other hand, the variance is computed using the following formula: σ2=np(1p). Therefore, the calculation goes like:
σ2=np(1p)
=8729(1729)
=1.4592
And finally, taking square root to the variance we get that the population standard deviation is:
σ=σ2=1.4592=1.208

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