A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn, then ( standard deviation of X mean of X

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A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn, then ( standard deviation of X mean of X ​ ) is equal to:

TestHub · Accepted Answer

P ( white ball ) = 40 30 ​ = 4 3 ​ , Q (red ball) = 40 10 ​ = 4 1 ​ , n = 16 standard deviation of X Mean of X ​ = n PQ ​ n P ​ = Q ​ n P ​ ​ = 4 1 ​ 16 × 4 3 ​ ​ ​ = 48 ​ = 4 3 ​

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