Consider the joint probability mass function Person 1 in Pxr(x, y) Person 2 in Seat 1 Seat 2 Seat 3 Seat 4 Seat 5 Seat 1 0.03 0.04 0.06 0.08 Seat 2 0.03 0.08 0.05 0.04 Seat 3 0.04 0.08 0.03 0.07 Seat 4 0.06 0.05 0.03 0.02 Seat 5 0.08 0.04 0.07 0.02 What is the probability that Person 1 is in a seat next to Person 2? b. Find the marginal pmf of X, Px(x) a. Find the marginal pmf of Y, py (y) (4)- с.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Consider the joint probability mass function
Person 1 in
Pxr(x, y)
Person 2 in
Seat 1
Seat 2
Seat 3
Seat 4
Seat 5
Seat 1
0.03
0.04
0.06
0.08
Seat 2
0.03
0.08
0.05
0.04
Seat 3
0.04
0.08
0.03
0.07
Seat 4
0.06
0.05
0.03
0.02
Seat 5
0.08
0.04
0.07
0.02
а.
What is the probability that Person 1 is in a seat next to Person 2?
b. Find the marginal pmf of X, px (x)
Find the marginal pmf of Y, py (y)
с.
d. Are X and Y independent? You must demonstrate this using the definition.
What is the correlation between X and Y?
What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3?
е.
f.
Transcribed Image Text:Consider the joint probability mass function Person 1 in Pxr(x, y) Person 2 in Seat 1 Seat 2 Seat 3 Seat 4 Seat 5 Seat 1 0.03 0.04 0.06 0.08 Seat 2 0.03 0.08 0.05 0.04 Seat 3 0.04 0.08 0.03 0.07 Seat 4 0.06 0.05 0.03 0.02 Seat 5 0.08 0.04 0.07 0.02 а. What is the probability that Person 1 is in a seat next to Person 2? b. Find the marginal pmf of X, px (x) Find the marginal pmf of Y, py (y) с. d. Are X and Y independent? You must demonstrate this using the definition. What is the correlation between X and Y? What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3? е. f.
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