GATE ECE 2008 | Question: 29

Question

$P_{X}(x)=M \exp (-2|x|)+N \exp (-3|x|)$ is the probability density function for the real random variable $X$, over the entire $x$ axis. $M$ and $N$ are both positive real numbers. The equation relating $M$ and $N$ is

• A. $M+\frac{2}{3} N=1$
• B. $2 M+\frac{1}{3} N=1$
• C. $M+N=1$
• D. $M+N=3$