Allied & ICAR Exam Bank • ALLIED_0097 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

In a binomial distribution with $n = 100$ and $p = 0.2$, the standard deviation is:

Answer Key:

4

Step-by-Step Solution & Explanation

Variance $\sigma^2 = n p (1 - p) = 100 \times 0.2 \times 0.8 = 16$. Standard deviation $\sigma = \sqrt{16} = 4$.
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