#how the hec do i calculate this

15 messages · Page 1 of 1 (latest)

lusty charm
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or where, idk, like, desmos doesnt calculate and wolfram probably doesnt wanna give me anything useful either

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wraith pine
lusty charm
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expected value of number of real zeros of polynomial ax²+bx+c with a,b,c normally distributed (mean 0, variance 1) random variables

wraith pine
lusty charm
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help

wraith pine
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@lusty charm I think there isn't any way to calculate this properly so think of a different method altogether

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start by omitting i(x) somehow

long path
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B² is a chi²(1) and AC follows a more complex distribution, which I found on wikipedia:

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So my guess would be to try finding an expression for the pdf of B² - 4AC

long path
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A small note before I go sleep: C has the same distribution as -C

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Therefore -AC has the same distribution as AC

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And the distribution of a sum of two random variables, is the convolution of their respective distributions