1.Write out and draw the marginal probability distribution of X. Show your work. 2. Find the mean and variance of X? Show your work. 3.Write out and draw the conditional probability distribution of X, given that Y = 2. Show your work.

1.Write out and draw the marginal probability distribution of X. Show your work. 2. Find the mean and variance of X? Show your work. 3.Write out and draw the conditional probability distribution of X, given that Y = 2. Show your work.

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

1.Write out and draw the marginal probability distribution of X. Show your work.
2. Find the mean and variance of X? Show your work.
3.Write out and draw the conditional probability distribution of X, given that Y = 2.
Show your work.

The random variables X and Y have the joint probability distribution given below.
X=1
X=2
Y=1
0.20
0.40
Y=2
0.10
0.30

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Expert Solution

Step 1

	Y=1	Y=2	Total
X=1	0.20	0.10	0.30
X=2	0.40	0.30	0.70
Total	0.60	0.40	1

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