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=4X=1 0.05 0.10 0.10 0.01X=2 0.15 0.25 0.20 0.05X=3 0.01 0.03 0.04 0.01Please give your answers to 2 decimal places.Part a)Find the marginal distributions of X and Y. What is P(X=1)?.26Part b)Find the expected value of X.1.83Part c)Find the expected value of Y.Part d)Find the probability mass function of Z = X+Y. What is P(Z=4)?.36Part e)Find E(Z).4.1

Answered: Image /qna-images/answer/12f7f47f-a13b-413d-a805-22dd1f66d273.jpg

Answered: Part c) Find the expected value of Y.

Math

Probability

Part c) Find the expected value of Y.

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...

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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

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