Allied & ICAR Exam Bank • ALLIED_0798 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

A continuous random variable $X$ has an exponential distribution with mean $E[X] = 4.0$ (so $\lambda = 0.25$). The variance $\text{Var}(X) = (1/\lambda)^2 = 4.0^2$ is:

Answer Key:

16

Step-by-Step Solution & Explanation

$\text{Var}(X) = 4^2 = 16.0$.
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