Part c) Find the expected value of Y.
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
Related questions
Question
Please answer the unanswered question to the fourth decimal point. 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)?
.26
Part b)
Find the expected value of X.
1.83
Part c)
Find the expected value of Y.
Part d)
Find the probability mass function of Z = X+Y. What is P(Z=4)?
.36
Part e)
Find E(Z).
4.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac014c0c-39ba-4db9-b5ce-0c9de6d6411a%2F12f7f47f-a13b-413d-a805-22dd1f66d273%2Fv43id5e_processed.jpeg&w=3840&q=75)
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)?
.26
Part b)
Find the expected value of X.
1.83
Part c)
Find the expected value of Y.
Part d)
Find the probability mass function of Z = X+Y. What is P(Z=4)?
.36
Part e)
Find E(Z).
4.1
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