I'm having trouble solving the following problem correctly:
The waiting time until delivery of a new component for an industrial operation is uniformly distributed over the interval 1 to 5 days. The cost of this delay is given by . Find the probability density function for .
so far I have:
and based on an example from the book I have:
then combining for the top part I would get:
and based on the solution in the back of the book it's:
if anyone can help me it it would be greatly appreciated