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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 gr

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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 : (a) `12/5` (b) `6` (c) `4` (d) `6/25` A. `(12)/(5)` B. 6 C. 4 D. `(6)/(25)` Select the correct answer from above options

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Correct Answer - A 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)`.

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