n = 42; p = 0.2
A) σ = 2.59
B) σ = 5.86
C) σ = 0.18
D) σ = 6.71

Name: n = 42; p = 0.2 A) σ = 2.59 B) σ = 5.86 C) σ = 0.18 D) σ = 6.71
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Quizplus · Accepted Answer

The standard deviation (σ) for a binomial distribution can be calculated using the formula σ = sqrt(n * p * (1 - p)), where n is the number of trials and p is the probability of success on each trial. Plugging in the given values (n = 42, p = 0.2), we get σ = sqrt(42 * 0.2 * 0.8) = sqrt(6.72) ≈ 2.59.

N = 42; P = 0.2