What are the mean and standard deviation of a binomial

eozoischgc

eozoischgc

Answered question

2022-01-17

What are the mean and standard deviation of a binomial probability distribution with n=13 and p=524?

Answer & Explanation

accimaroyalde

accimaroyalde

Beginner2022-01-17Added 29 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=13,p=524 and q=1524=1924.
Hence mean is 13×524=2.708
Standard deviation is 13×524×1924
=124×1235=4.8696=1.464

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