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) %3D %3D %3D 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 a. Determine the probability of one letter being dropped in mailbox X and one letter being dropped at mailbox Y. Answer in fraction or in exact decimals b. What is the probability that more than three letters were dropped in both mailboxes X and Y combined? Answer in fraction or in exact decimals 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
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) %3D %3D %3D 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 a. Determine the probability of one letter being dropped in mailbox X and one letter being dropped at mailbox Y. Answer in fraction or in exact decimals b. What is the probability that more than three letters were dropped in both mailboxes X and Y combined? Answer in fraction or in exact decimals 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
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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Transcribed Image Text:The following table represents the joint probability
distribution of the number of letters dropped daily in
mailbox X and mailbox Y.
= 0 Y = 1 Y = 2 Y = 3 Px (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
a. Determine the probability of one letter being
dropped in mailbox X and one letter being dropped
at mailbox Y.
Answer in fraction or in exact decimals
b. What is the probability that more than three
letters were dropped in both mailboxes X and Y
combined?
Answer in fraction or in exact decimals
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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