Part d) Find the probability mass function of Z = X+Y. What is P(Z=4)? Part e) Find E(Z).

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 10CT
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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.
1.25
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)? .26 Part b) Find the expected value of X. 1.83 Part c) Find the expected value of Y. 1.25 Part d) Find the probability mass function of Z X+Y. What is P(Z=4)? Part e) Find E(Z).
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