1. The problem is to find the probability density function (PDF) of a continuous random variable. 2. The PDF is a function that describes the likelihood of a random variable to take on a particular value. It must satisfy two conditions: it is non-negative everywhere, and the total area under the curve is 1. 3. To make or find a PDF, you often start with a function and then normalize it so that the total area under the curve equals 1. 4. For example, if you have a function $f(x)$, the PDF $p(x)$ is given by: $$p(x) = \frac{f(x)}{\int_{-\infty}^{\infty} f(t) dt}$$ 5. This ensures that: $$\int_{-\infty}^{\infty} p(x) dx = 1$$ 6. Without a specific function or distribution given, this is the general method to "make" or find a PDF. 7. If you provide a specific function or distribution, I can help you find its PDF explicitly.