Mathematics, 28.01.2020 02:31 bigjoebob22

Let x1~ exp(1) and x2 ~ exp(1) be independent and identically-distributed exponential random variables with rate 1.

let: y = x1 + x2 , z = x1 − x2

(a) what is the cdf of x1?

(b) what is the joint pdf of (x1, x2)?

(c) what is the joint pdf of (y, z)?

(d) what is the marginal pdf of z?

Answers: 3

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Let x1~ exp(1) and x2 ~ exp(1) be independent and identically-distributed exponential random variabl...

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More questions: Mathematics Another questions

Let x1~ exp(1) and x2 ~ exp(1) be independent and identically-distributed exponential random variables with rate 1. let: y = x1 + x2 , z = x1 − x2 (a) what is the cdf of x1? (b) what is the joint pdf of (x1, x2)? (c) what is the joint pdf of (y, z)? (d) what is the marginal pdf of z?

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Another question on Mathematics

Let x1~ exp(1) and x2 ~ exp(1) be independent and identically-distributed exponential random variables with rate 1.

let: y = x1 + x2 , z = x1 − x2

(a) what is the cdf of x1?

(b) what is the joint pdf of (x1, x2)?

(c) what is the joint pdf of (y, z)?

(d) what is the marginal pdf of z?