Homework Help is Here – Start Your Trial Now!
Math
Probability
Let the random variables X and Y follow the joint pdf 2yex fx,y (x, y) = ifx > 0, 0 < y < 1 otherwise Mark the statements below that are true for this joint pdf. Select one or more: O a. The marginal density of Y is fy(y) = 2y on (0,1). b. c. E[XY] = 0. Od. The conditional density of Y given X = x is proportional to xe¯* assuming x > 0. Oe. The joint cumulative distribution function (cdf) tends to infinity as y tends to infinity. O f. X and Y are dependent. X and Y are independent.

Let the random variables X and Y follow the joint pdf 2yex fx,y (x, y) = ifx > 0, 0 < y < 1 otherwise Mark the statements below that are true for this joint pdf. Select one or more: O a. The marginal density of Y is fy(y) = 2y on (0,1). b. c. E[XY] = 0. Od. The conditional density of Y given X = x is proportional to xe¯* assuming x > 0. Oe. The joint cumulative distribution function (cdf) tends to infinity as y tends to infinity. O f. X and Y are dependent. X and Y are independent.

A First Course in Probability (10th Edition)
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...
See similar textbooks
icon
Related questions
Question

Selected correct option after simplifying  for each part

Let the random variables X and Y follow the joint pdf 2ye¯x ifx > 0, 0 < y < 1 otherwise { Mark the statements below that are true for this joint pdf. fx.x (x, y) = 0 Select one or more: a. The marginal density of Y is fy(y) = 2y on (0,1). b. X and Y are independent. c. E[XY] = 0. d. The conditional density of Y given X = x is proportional to xe assuming x > 0. e. The joint cumulative distribution function (cdf) tends to infinity as y tends to infinity. Of. X and Y are dependent.
Transcribed Image Text:Let the random variables X and Y follow the joint pdf 2ye¯x ifx > 0, 0 < y < 1 otherwise { Mark the statements below that are true for this joint pdf. fx.x (x, y) = 0 Select one or more: a. The marginal density of Y is fy(y) = 2y on (0,1). b. X and Y are independent. c. E[XY] = 0. d. The conditional density of Y given X = x is proportional to xe assuming x > 0. e. The joint cumulative distribution function (cdf) tends to infinity as y tends to infinity. Of. X and Y are dependent.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer