Explain how to use a random number generator (assumed to yield independent U(0,1) random variables).

Explain how to use a random number generator (assumed to yield independent U(0,1) random variables) to simulate a random sample of variables from a distribution with density

function

fX (x) = 6x

5

I(0,1)(x).

Use any available computer program (e.g., Excel) to generate a sample of size 100 from

this distribution. Draw a histogram for these data (using, for example, 5 intervals of length

.2) and compare it to a graph of the density f(x) above.