Allied & ICAR Exam Bank • ALLIED_0091 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Random variables

Question Statement:

A continuous random variable $X$ has probability density function $f(x) = c x$ for $0 \le x \le 2$ and $0$ otherwise. The value of $c$ is:

Answer Key:

0.5

Step-by-Step Solution & Explanation

$\int_0^2 c x dx = c \left[ \frac{x^2}{2} \right]_0^2 = c(2) = 1 \implies c = 0.5$.
← Previous (ALLIED_0090) Next (ALLIED_0092) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test