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
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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.
Part d)
Find the probability mass function of Z = X+Y. What is P(Z=4)?
.36
Part e)
Find E(Z).
4.1
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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