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Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution isQuestion 8Select one:a.1.44b.144c.12d.20

Question

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution isQuestion 8Select one:a.1.44b.144c.12d.20

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Solution

The variance of a binomial distribution is calculated using the formula:

Variance = np(1-p)

where: n = sample size p = probability of success

In this case, n = 50 and p = 0.4. Substituting these values into the formula gives:

Variance = 500.4(1-0.4) = 500.40.6 = 12

So, the correct answer is c. 12.

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