The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y. Y = 2 Y = 3 Y = 4 Y = 5 Px (X= x) X = 0 0.3 0.03 0.2 0.54 X = 1 0.04 0.025 0.04 0.03 X = 2 0.07 0.1 0.01 X = 3 0.025 0.02 0.02 Py (Y = y) 0.135 b. What is the probability of at least 3 letters being dropped in both mailboxes X and Y. Answer in fraction or in exact decimals

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y.
Y = 2
Y = 3
Y = 4
Y = 5
Px (X = x)
X = 0
0.3
0.03
0.2
0.54
X = 1
0.04
0.025
0.04
0.03
X = 2
0.07
0.1
0.01
X = 3
0.025
0.02
0.02
Py (Y = y)
0.135
b. What is the probability of at least 3 letters being dropped in both mailboxes X and Y.
Answer in fraction or in exact decimals
Transcribed Image Text:The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y. Y = 2 Y = 3 Y = 4 Y = 5 Px (X = x) X = 0 0.3 0.03 0.2 0.54 X = 1 0.04 0.025 0.04 0.03 X = 2 0.07 0.1 0.01 X = 3 0.025 0.02 0.02 Py (Y = y) 0.135 b. What is the probability of at least 3 letters being dropped in both mailboxes X and Y. Answer in fraction or in exact decimals
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