-= y) t least two letters were dropped in mi raction or rounded to at least 4 decimal places

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 = 0
Y = 1
Y = 2
Y = 3
Px (X = x)
X = 0
0.112
0.07
0.03
0.04
X = 1
0.02
0.12
0.221
X = 2
0.06
0.06
0.037
0.08
X = 3
0.1
0.01
0.16
Py (Y = y)
0.158
c. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X?
Answer in exact fraction or rounded to at least 4 decimal places
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 = 0 Y = 1 Y = 2 Y = 3 Px (X = x) X = 0 0.112 0.07 0.03 0.04 X = 1 0.02 0.12 0.221 X = 2 0.06 0.06 0.037 0.08 X = 3 0.1 0.01 0.16 Py (Y = y) 0.158 c. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X? Answer in exact fraction or rounded to at least 4 decimal places
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