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We are interested in the random variable Y, defined as the length of each piece lost.

i) Sketch the graph y (values of Y) as a function of x (values of X), and derive m(y) = E[Y] as a function of f(x) and m(x).

The graph...

y=x , x < L

y=x-L , x => L

but how do I derive the mean of Y?

Any helps as always greatly appreciated.