Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.)
$$f(x) = 0.06\, e^{−0.06\,x}\text{ on }[0, +\infty)$$
Any help solving this problem would be greatly appreciated as I am extremely confused on where to even start.
The median is located where the $\text{cdf}$ reaches $1/2$.
Integrating,
$$\text{cdf}(x)=\int_0^x\text{pdf}(x) dx=\int_0^x0.06e^{-0.06x}dx=-\left.e^{-0.06x}\right|_0^x=\frac12.$$
I let you the conclude.