d. Are X and Y independent? You must demonstrate this using the definition. e. What is the correlation between X and Y? f. What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 11E: An ordinary die is rolled. Find the probability of each event. Rolling a number greater than 1 but...
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d. Are X and Y independent? You must demonstrate this using the definition.
e. What is the correlation between X and Y?
f. What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3?
Transcribed Image Text:d. Are X and Y independent? You must demonstrate this using the definition. e. What is the correlation between X and Y? f. What is the conditional probability that Person 1 is in seats 1 or 2 given Person 2 is in seat 3?
Consider the joint probability mass function
X2
Person 1 in
PxY(x, y)
Person 2 in
Seat 1
Seat 2
Seat 3
Seat 4
Seat 5
4. o Seat 1
0.03
0.04
0.06
0.08
21
Seat 2
0.03
0.08
0.05
0.04
20
43
Seat 3
0.04
0.08
0.03
0.07
Seat 4
0.06
0.05
0.03
0.02
14
Seat 5
0.08
0.04
0.07
0.02
21
45
do
Transcribed Image Text:Consider the joint probability mass function X2 Person 1 in PxY(x, y) Person 2 in Seat 1 Seat 2 Seat 3 Seat 4 Seat 5 4. o Seat 1 0.03 0.04 0.06 0.08 21 Seat 2 0.03 0.08 0.05 0.04 20 43 Seat 3 0.04 0.08 0.03 0.07 Seat 4 0.06 0.05 0.03 0.02 14 Seat 5 0.08 0.04 0.07 0.02 21 45 do
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