X 1.0 1.5 1.5 2.5 3.0 y 1 2 3 4 5 fxy(x, y) 1/4 1/8 1/4 1/4 1/8 2.2 WP Consider the joint distribution in Exercise 5.1.1. etermine the following: a. Conditional probability distribution of Y given that X = 1.5 b. Conditional probability distribution of X that Y = 2 c. E(Y | X= 1.5) d. Are X and Y independent?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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5.1.1 WP
X
1.0
1.5
1.5
2.5
3.0
y
1
23+
4
5
fxy(x, y)
1/4
1/8
1/4
1/4
1/8
5.2.2 WP Consider the joint distribution in Exercise 5.1.1.
Determine the following:
a. Conditional probability distribution of Y given that
X = 1.5
b. Conditional probability distribution of X that Y
= 2
c. E(Y | X = 1.5)
d. Are X and Y independent?
Transcribed Image Text:5.1.1 WP X 1.0 1.5 1.5 2.5 3.0 y 1 23+ 4 5 fxy(x, y) 1/4 1/8 1/4 1/4 1/8 5.2.2 WP Consider the joint distribution in Exercise 5.1.1. Determine the following: a. Conditional probability distribution of Y given that X = 1.5 b. Conditional probability distribution of X that Y = 2 c. E(Y | X = 1.5) d. Are X and Y independent?
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