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= æ) 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 Pr (Y = y) 0.158
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= æ) 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 Pr (Y = y) 0.158
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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Question
a. What is the probability that more than three letters were dropped in both mailboxes X and Y combined?
b. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X?
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
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