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14-07-2021
Mathematics

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A binomial discrete random variable, X has a mean
of 3 and variance of 2. If X ~ B(n,p), find the values
of p and of n.

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LammettHash LammettHash

14-07-2021

Since X follows a binomial distribution, its mean and variance are

np = 3

np (1 - p) = 2

Substitute np = 3 in to the second equation to solve for p :

3 (1 - p) = 2

1 - p = 2/3

p = 1/3

Solve for n :

n (1/3) = 3

n = 9

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