A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one -by - one with replacement, then the variance of the number of green balls drawn, is

Options

A. `(12)/(5)`
B. 6
C. 4
D. `(6)/(25)`

Answer

A

Explanation

Let X denote the number of green balls in a draw 10 balls one-day one with replacement. Then,X is a binomial variate with
`n=10,p=(15)/(25)=(3)/(5)and q=(2)/(5)`
`therefore` Variance `X=npq=10xx(3)/(5)xx(2)/(5)=(12)/(5)`.