How to find the median of a random variable given its probability density function?

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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.

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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.