Answer:
For this case we know that the random variable of interest would be X and the distribution for X is given by:
[tex] X \sim Bin (n,p)[/tex]
And by properties of this distribution the expected value for this case is:
[tex] E(X)= np[/tex]
And the variance :
[tex] Var(X)= np(1-p)[/tex]
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:
[tex] X \sim Bin (n,p)[/tex]
And by properties of this the expected value for this case is:
[tex] E(X)= np[/tex]
And the variance :
[tex] Var(X)= np(1-p)[/tex]
