What are the mean and standard deviation of a binomial

Chris Cruz 2022-01-19 Answered
What are the mean and standard deviation of a binomial probability distribution with n=210 and p=1221?
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esfloravaou
Answered 2022-01-19 Author has 43 answers

Explanation:
Binomial distribution is a frequency distribution of possible number of successful outcomes in given number of trials n, in each of which there is the probability of success is p (and q=1-p is probability of failure).
The mean and standard deviation of a binomial distribution are given by np and npq.
Here n = 210, p=1221 and q=11221=921.
Hence Mean is 210×1221=120
Standard Deviation is 210×1221×921
=121×22680=150.621=7.17

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usumbiix
Answered 2022-01-20 Author has 33 answers
The formula for the population mean is μ=np, so therefore we get:
μ=np
12210.57
=210*0.57
=119.7
the variance is computed using the following formula: σ2=np(1p).
σ2=np(1p)
=210*0.57(1-0.57)
=51.4
σ=σ2=51.4=7.17
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