(adsbygoogle = window.adsbygoogle || []).push({}); X is continuously distributed with probability density

[tex]f_{X}(x) = nx^{n-1}, if 0 < x \leq 1[/tex]

and

[tex]f_{X}(x) = 0, otherwise[/tex]

Find the distribution function F(x) of X. Find the probability that X lies between 0.25 and 0.75 when n=1 and when n=2. Find the median of X, i.e. the value of a so that [tex]P(X \leq a) = 1/2[/tex], when n=1 and when n=2. Find E(X) when n=1 and when n=2 and compare with the corresponding medians.

I'm first gonna try to find the distribution function. Does this simply mean finding n in the probability density?

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# Homework Help: Distribution function

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