Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). a) Write down the joint probability density function fxy(x,y) of X and Y on its support. answer: 1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Found out the join probability density function, not too sure if thats correct.

Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1).
(a) Write down the joint probability density function fxy(x,y) of X and Y on its support.
Answer:
1
Transcribed Image Text:Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). (a) Write down the joint probability density function fxy(x,y) of X and Y on its support. Answer: 1
(b) The expression for the joint probability density function of the transformed random variables U = 10 X+Y and V= 8 X+ 2 Y on its support is:
fu,v(u,v) = A u® (C v + D}E
Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)?
O 1/8, 1, 1.25, 1, -2
none of these answers is correct.
O 1/8, 1, 1.25, 1, 2
О 8, 1, 1.25, 1, -2
O 1, 2, 3, 4, 5
О 17, 0, 0, 1, 1
Transcribed Image Text:(b) The expression for the joint probability density function of the transformed random variables U = 10 X+Y and V= 8 X+ 2 Y on its support is: fu,v(u,v) = A u® (C v + D}E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? O 1/8, 1, 1.25, 1, -2 none of these answers is correct. O 1/8, 1, 1.25, 1, 2 О 8, 1, 1.25, 1, -2 O 1, 2, 3, 4, 5 О 17, 0, 0, 1, 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON