Allied & ICAR Exam Bank • ALLIED_2740 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Random variables

Question Statement:

The cumulative distribution function (CDF) $F(x) = P(X \le x)$ is always:

Options:

  • (A) Non-decreasing and right-continuous
  • (B) Strictly decreasing
  • (C) Periodic
  • (D) Discontinuous everywhere

Answer Key:

A

Step-by-Step Solution & Explanation

Properties of CDF: $F(x)$ monotonically non-decreases from $0$ as $x \to -\infty$ to $1$ as $x \to +\infty$, and is right-continuous.
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