# Math Help - density function

1. ## density function

f(t)={ $0$ for t<0.5
$ke^-2(t-0.5)$ for 0.5<t

how can I find k.
(is it by integrating)

2. Originally Posted by Sally_Math
f(t)={ $0$ for t<0.5
$ke^-2(t-0.5)$ for 0.5<t

how can I find k.
(is it by integrating)
are you speaking of a probability density function? , and ...

for $t \geq 0.5$ , is the function $f(t) = ke^{-2(t-0.5)}$ ?

if so ...

$\int_{0.5}^{\infty} ke^{-2(t-0.5)} \, dt = 1$

solve for k.