Homework Help is Here – Start Your Trial Now!
Math
Probability
The random variables X and Y have a joint distribution given by the table below: y=1 y=2 y=3 y=4 X=1 0.05 0.10 0.10 0.01 x=2 0.15 0.25 0.20 0.05 X=3 0.01 0.03 0.04 0.01 give your answers to 2 decimal places. e marginal distributions of X and Y. What is P(X=1)? e expected value of X. e expected value of Y. e probability mass function of Z = X+Y. What is P(Z=4)?

The random variables X and Y have a joint distribution given by the table below: y=1 y=2 y=3 y=4 X=1 0.05 0.10 0.10 0.01 x=2 0.15 0.25 0.20 0.05 X=3 0.01 0.03 0.04 0.01 give your answers to 2 decimal places. e marginal distributions of X and Y. What is P(X=1)? e expected value of X. e expected value of Y. e probability mass function of Z = X+Y. What is P(Z=4)?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 11CR
See similar textbooks
Question
Please answer all parts to the fourth decimal place. Thank you!
The random variables X and Y have a joint distribution given by the table below: y=1 y=2 y=3 y=4 X=1 0.05 0.10 0.10 0.01 x=2 0.15 0.25 0.20 0.05 x=3 0.01 0.03 0.04 0.01 Please give your answers to 2 decimal places. Part a) Find the marginal distributions of X and Y. What is P(X=1)? Part b) Find the expected value of X. Part c) Find the expected value of Y. Part d) Find the probability mass function of Z = X+Y. What is P(Z=4)? Part e) Find E(Z).
Transcribed Image Text:The random variables X and Y have a joint distribution given by the table below: y=1 y=2 y=3 y=4 X=1 0.05 0.10 0.10 0.01 x=2 0.15 0.25 0.20 0.05 x=3 0.01 0.03 0.04 0.01 Please give your answers to 2 decimal places. Part a) Find the marginal distributions of X and Y. What is P(X=1)? Part b) Find the expected value of X. Part c) Find the expected value of Y. Part d) Find the probability mass function of Z = X+Y. What is P(Z=4)? Part e) Find E(Z).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS