I know the pdf of standard normal distribution, but what's the pdf of a function of it? For example: standard normal distribution + 1, how should I find the pdf? I think the graph for this one is easier, just move the graph up by 1.
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Be careful to move the graph by 1 in the correct direction ;-) – Stef Feb 15 '23 at 11:38
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Also note that "a function of a pdf" and "the pdf of a function of a random variable following a pdf" are not the same thing. – Stef Feb 15 '23 at 11:39
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@Stef You got me there, I think I'm asking the function of pdf, like Z is std and I want to find the formula for probability density of Z + 1 – pupupyguy Feb 15 '23 at 18:44
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@Stef Thanks I think I should move the graph to the right, but I'm still confused about formula, could you give more hint on that? – pupupyguy Feb 15 '23 at 18:53
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see [Understanding “randomness”](https://stackoverflow.com/a/3956538/2521214) for some ideas ... you can simply measure the `pdf(f(prng))` by simply doing histogram of outputted PRNG numbers and plot it as graph... and or fit it with some curve or equation – Spektre Feb 16 '23 at 07:56