makhdoom ghaya
asked
in Probability & Statistics
Jan 30, 2017
retagged
Mar 9, 2021
by Lakshman Patel RJIT

0 votes

Let the probability density function of a random variable, $X$, be given as:

$f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$

where u(x) is the unit step function.

Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are

- $2, \frac{1}{2}$
- $4, \frac{1}{2}$
- $2, \frac{1}{4}$
- $4, \frac{1}{4}$