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emimh9egouki emimh9egouki
  • 21-02-2017
  • Mathematics
Answered

Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

Verified Answer :

LammettHash
LammettHash LammettHash
  • 22-02-2017

We don't know what \(n\) and \(p\) are, but we can derive the mean and variance with the general parameters using the PMF of the distribution. It's a tedious bit of work, so I'll cut to the chase:

\(\text{mean}=np\)
\(\text{variance}=np(1-p)\)
\(\text{standard deviation}=\sqrt{\text{variance}}=\sqrt{np(1-p)}\)

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