Answer to Question #271205 in Statistics and Probability for AF1614

Question

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

f (x) = 3(1 − x)2, 0≤ x ≤ 1

0, elsewhere

with measurements in $100s. How much money should be budgeted each week for repair cost to

ensure that the actual cost exceeds the budgeted amount only 10% of the time?