Allied & ICAR Exam Bank • ALLIED_2739 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Random variables

Question Statement:

For a discrete random variable $X$ taking values $1, 2, 3$ with probabilities $0.2, 0.5, 0.3$, the expected value $E[X]$ is:

Answer Key:

2.1

Step-by-Step Solution & Explanation

$E[X] = 1(0.2) + 2(0.5) + 3(0.3) = 0.2 + 1.0 + 0.9 = 2.1$.
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