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Question

Question: In a binomial distribution with n = 10 and p = 0.6, the vanance of the distribution is:...

In a binomial distribution with n = 10 and p = 0.6, the vanance of the distribution is:

A

2.4

B

2.86

C

3.2

D

2.64

Answer

2.4

Explanation

Solution

The variance of a binomial distribution with nn trials and probability of success pp is given by the formula np(1p)np(1-p). Given n=10n=10 and p=0.6p=0.6, the variance is 10×0.6×(10.6)=10×0.6×0.4=2.410 \times 0.6 \times (1-0.6) = 10 \times 0.6 \times 0.4 = 2.4.