The waiting time X until delivery of a new component for an

The waiting time X until delivery of a new component for an industrial operation is uniformly distributed over the interval from 1 to 5 days. The cost of this delay is given by probability density function for Y.

Solution

uniform distribution over the interval from 1 to 5

x = 1 / (5-1 ) = 1/4

y = 2* (1/4)^2 + 3

y = 3.125