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
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
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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D, E, 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)
c. Find the marginal pmf of Y, p, (y)
d. Are X and Y independent? You must demonstrate this using the definition.
What is the correlation between X and Y?
f.
е.
What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3?
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