What are the mean and standard deviation of a binomial

Shelia Lawrence

Shelia Lawrence

Answered question

2022-01-17

What are the mean and standard deviation of a binomial probability distribution with n=23 and p=723?

Answer & Explanation

Laura Worden

Laura Worden

Beginner2022-01-17Added 45 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=23,p=723 and q=1723=1623.
Hence mean is 23×723=7
Standard deviation is 23×723×1623
=7×1623=4.8696=2.21

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