The weekly repair cost Y for a machine has a probability density function given by f (y)

Chapter 4, Problem 4.126

(choose chapter or problem)

The weekly repair cost Y for a machine has a probability density function given by

\(f(y)=\left\{\begin{array}{ll}
3(1-y)^{2}, & 0<y<1, \\
0, & \text { elsewhere, }
\end{array}\right.\)

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

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