# The Median

• December 4th 2009, 12:01 PM
essedra
The Median
The median of a random variable X is a number μ that satisfiees FX(μ) = 1/2.
Find the median of the exponential random variable with parameter λ=0.15
• December 4th 2009, 12:21 PM
mr fantastic
Quote:

Originally Posted by essedra
The median of a random variable X is a number μ that satisfiees FX(μ) = 1/2.
Find the median of the exponential random variable with parameter λ=0.15

Solve $\int_0^{m} f(x) \, dx = \frac{1}{2}$ for $m$, where $m$ is the median (I refuse to use $\mu$ as the symbol for the median - using this symbol is plain dumb) and $f(x)$ is the pdf of the exponential random variable.

If you need more help, please show all your working and say where yu get stuck.