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**Danneedshelp** Q: The weekly repair cost Y for a machine has a pdf given by

$\displaystyle f(y)=\left\{\begin{array}{cc}3(1-y)^{2},&\mbox{}

0<y<1\\0,&\mbox{}elsewhere\end{array}\right.$

with measurements in hundreds of dollars. How much money should be budgeted each week for rpair costs so that the actual cost will exceed the budgeted amount only 10% of the time?

I am not sure how to start this problem. Do I begin by finding P(Y>.1) or do I just need to sovle for the lower limit of the integral equal to 10% and then multiply by $100?