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asked 9 years ago

mathhobbyist gravatar image

How to solve normal distribution equation in Sage

I'm practicing statistics and I'm wondered how one can solve the following problem from Sage:

Find a numerical value of x such that 12πxet2/2dt=0.987654321. I was thinking to different solutions:

1) Is there an inverse of normal distribution cumulative function?

2) Can we write it as f(x)=ex2/2,f(0)=1/2,f(x0)=0.987654321 and use some numerical method to solve the differential equation?

but I don't know are those functions implemented in Sage.