The probability density function of a signal x[ t] is given

The probability density function of a signal x[ t] is given by
P_x(x) = 1 |x|. e^{– |x|}
2

the probability that – 1 ≤ x ≤ 2

P(– 1 < x ≤ 2)

=		^∞	P_x(x)dx =		^∞	\|x\|	e^-xdx
		- ∞			- ∞	2		₀

=		⁰	-	x	e^xdx +		²	x	e^-xdx
		- 1		2			0	2		₀

xe^x -

^∞

xe^xdx

xe^-x

xe^-xdx

- 1

₀

= 1 -	1	–	3	= 0.42
	e		e²

P_x(x) =	1	\|x\|. e^{– \|x\|}
	2