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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)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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).
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