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

Question

asked Aug 2, 2021 65.1k views

1 Answer

Aleida · Answer 1 · 2021-08-09T01:29:34+0000

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)