Question

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

Answer 1

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 :

$Var(X)= np(1-p)$

Step-by-step 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 :

$Var(X)= np(1-p)$