Asked by A
A single dot is placed on a very long length of yarn at the textile mill. The yarn is then cut into pieces. The 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
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
Answers
Answered by
Mary
1)2/lambda
2)4/lambda
CORRECT!!!!!
2)4/lambda
CORRECT!!!!!
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