Allied & ICAR Exam Bank • ALLIED_0796 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

A binomial random variable has $n = 100$ trials and success probability $p = 0.2$. The standard deviation $\sigma = \sqrt{n p (1 - p)} = \sqrt{100 \times 0.2 \times 0.8} = \sqrt{16}$ is:

Answer Key:

4

Step-by-Step Solution & Explanation

$\sigma = \sqrt{16} = 4.0$.
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