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I have two graphs f(x) and g(x) which exist on the same infinite domain. I want to create a graph h(x) that plots f(x) * g(x) against x1 * x2 and I'm not sure how.

To be precise, I want to take two univariate Gaussian distributions and graph them as one distribution where $\mu$ is equal to or close (rightward skewed) to $\mu_1 + \mu_2$.

  • I'd make $x_1=x$, $x_2=y$ and $f(x_1)g(x_2)=z$. Then I can make a surface plot or a color plot. You need to clarify what you want regarding the distribution though. You want to plot the joint probability density? – Mefitico Feb 07 '19 at 19:03
  • I'm not sure exactly what I want... I'm trying to calculate the area of a square where both dimensions are described as normal distributions. I'm not sure if my approach is right, but I'll try joint probability density, thanks! – Damyan Pavlovic Feb 07 '19 at 19:08
  • Take a look at this question then. – Mefitico Feb 07 '19 at 19:10

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