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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 a. Determine the probability of one letter being dropped in mailbox X and one letter being dropped at mailbox Y.  b. What is the probability that more than three letters were dropped in both mailboxes X and Y combined?  c. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X?

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 a. Determine the probability of one letter being dropped in mailbox X and one letter being dropped at mailbox Y.  b. What is the probability that more than three letters were dropped in both mailboxes X and Y combined?  c. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X?

College Algebra
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

a. Determine the probability of one letter being dropped in mailbox X and one letter being dropped at mailbox Y. 

b. What is the probability that more than three letters were dropped in both mailboxes X and Y combined? 

c. Given that at least two letters were dropped in mailbox Y, what is the probability of two letters being dropped in mailbox X? 

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 = 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
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 = 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
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