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If X is a binomial random variable with parameters n and p, what is the expected value of X?

User Curtybear
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Answer:

For this case we know that the random variable of interest would be X and the distribution for X is given by:


X \sim Bin (n,p)

And by properties of this distribution the expected value for this case is:


E(X)= np

And the variance :


Var(X)= np(1-p)

Explanation:

For this case we know that the random variable of interest would be X and the distribution for X is given by:


X \sim Bin (n,p)

And by properties of this the expected value for this case is:


E(X)= np

And the variance :


Var(X)= np(1-p)

User Aleida
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