Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

A) 20.
B) 12.
C) 3.46.
D) 2.83.

Question

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution isA)  20.B)  12.C)  3.46.D)  2.83.

Kristal Arevalo · Accepted Answer

Final Answer : B, Explanation :   The variance of a binomial distribution is given by the formula   σ 2 = n p ( 1 − p )  \sigma^2 = np(1-p)  σ 2 = n p ( 1 − p )  , where   n  n  n   is the sample size and   p  p  p   is the probability of success. Substituting the given values,   n = 50  n = 50  n = 50   and   p = 0.4  p = 0.4  p = 0.4  , we get   σ 2 = 50 × 0.4 × ( 1 − 0.4 ) = 50 × 0.4 × 0.6 = 12  \sigma^2 = 50 	imes 0.4 	imes (1-0.4) = 50 	imes 0.4 	imes 0.6 = 12  σ 2 = 50 × 0.4 × ( 1 − 0.4 ) = 50 × 0.4 × 0.6 = 12  .

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

A) 20.
B) 12.
C) 3.46.
D) 2.83.

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