lengths of the different pieces are independent, and the length of each piece is distributed according to the same PDF fX(x). Let R be the length of the piece that includes the dot. Determine the expected value of R in each of the following cases.
In each part below, express your answer in terms of λ using standard notation. Enter 'lambda' for λ.
Suppose that fX(x)={λe−λx,0,x≥0,x<0.
E[R]=- unanswered
Suppose that fX(x)={λ3x2e−λx2,0,x≥0,x<0.
E[R]=- unanswered