Question Bank • QB_EM_114 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

In a binomial distribution with parameters $n = 100$ and $p = 0.20$, calculate the standard deviation $\sigma$ of the distribution.

Answer Key:

4

Step-by-Step Solution & Explanation

For a binomial distribution $B(n, p)$: $\text{Variance } \sigma^2 = n p q$ Where $q = 1 - p = 1 - 0.20 = 0.80$. $\sigma^2 = 100 \times 0.20 \times 0.80 = 16$ $\sigma = \sqrt{16} = 4.0$
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