Thanks both for the answers.
The task is, that i have to express E(Y) as a function, only of G (see attached)
And I really don't what to do about the integral. Y=X/si (where si are deterministic), Y is on [0,1] and Y has dstribution function F, defined on [0,1]. The variable d is defined on [0,1]
My problem is after isolating E(Y), then what to do, to get rid of integral.
And I don't know anything about it being uniform, beta or whatever.
I you could give a hint, I'll be gratefull