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Q.

In a binomial distribution B(n, p), the sum and the product of the mean and the variance are 5 and 6 respectively, then 6(n + p - q) is equal to 

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a

53

b

52

c

50

d

51

answer is C.

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Detailed Solution

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np + npq = 5, np.npq = 6, p + q = 1
on solving (3q - 2)(2q - 3) = 0
q = 3/2 rejected ,q = 2/3 accepted
p = 1/3
n = 9
6(n + p - q) = 52 

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