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## Homework Statement

1) Let X have the p.d.f f(x) = 3(1-x)

^{2}, 0≤x<1. Compute:

a) P(0.1 < X < 0.5)

etc...

2) Find the mean and variance, and determine the 90th percentile , of each of the distributions given by the following densities:

a) f(x) 2x, 0≤0<0

etc..

3) Find the 50th percentile ( median ), the 25th percentile ( first quartile ), the 75th percentile ( third quartile ), and the 90th percentile ( also called the ninth decile ) for the following densities:

a)4x

^{3}, 0≤x<1

etc..

Consider the uniform ( rectangular ) distribution on the space [a,b), where a<b, with p.d.f

f(x) 1/b-a

^{'}a≤x<b

a) Obtain the cumulative distribution function F(x). Determine the median and the first and third quartiles, and calculate the mean and variance.

I really just need to know which formulas I use here. The book has several pages deriving formulas, I can't see the wood for the trees.