Sage is great software that I rave about in pretty much all of my
classes except for probability theory. I’d like to get some info on a
few topics to clear some things up so that I can use these for classes
and to post to an examples worksheet. Thanks in advance to anyone that
replies.
I am wondering how to do a few things.
Is there a better (built-in) way to do simple combinations/
permutations than writing a function like
def choose(n,k): return factorial(n)/(factorial(k)*factorial((n-k)))
or equivalent for permutations?
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Is there a way to get the Standard Normal CDF other than writing the
function explicitly like below?
def normalCDF(z):
t = var('t')
return N(integrate((1/sqrt(2*pi))*e^((-t^2)/2), t, -infinity, z))
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Also, are there any distributions built into sage? I don’t quite know
what working with a distribution symbolically would be like, but as an
example, perhaps being able to do something like
X ~ BIN(n, p) and then get the expected value, variance, or PDF of X?
Assume that n and p are given.
Thanks,
-Matthew J
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