{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW11 ConvolutionPractice_ans_1

# HW11 ConvolutionPractice_ans_1 - Practice Problems...

This preview shows pages 1–5. Sign up to view the full content.

Practice Problems: Computing the density of X + Y . 1) Let X Exp( λ ) and Y Exp( μ ), and let X and Y be independent. Compute the p.d.f. of X + Y . 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2) Let X and Y be independent with marginal density functions f X ( x ) = 2 x 0 x 1 0 otherwise and f Y ( y ) = 3 / 4(1 y 2 ) 1 y 1 0 otherwise . Compute the density of X + Y . 2
3) Let X and Y be independent random variables such that X Exp(2) and Y U ( 1 , 1). Compute the p.d.f. of X + Y . 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4) Let ( X, Y ) have joint p.d.f. f ( x, y ) = x + y 0 x, y 1 0 otherwise . a) Are X and Y independent? b) Compute the p.d.f. of Z = X + Y . 4
5) Let X and Y be independent random variables with
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

HW11 ConvolutionPractice_ans_1 - Practice Problems...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online