A vending machine has been known to be "finicky," that is, it will only sometimes accept dollar bills that are fed into it. Let X represent the number of bills accepted out of the last four tried. X 0 1 2 3 4 probability 0.05 0.15 0.15 0.31 0.24 Does the table below show a correct probability model for X? No, because the sample space is missing values for X. No, because the probabilities do not sum to 1.     Yes, because all probabilities and all values for X are represented. Yes, because all of the probabilities are between 0 and 1.

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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A vending machine has been known to be "finicky," that is, it will only sometimes accept dollar bills that are fed into it. Let X represent the number of bills accepted out of the last four tried.

X 0 1 2 3 4
probability 0.05 0.15 0.15 0.31 0.24



Does the table below show a correct probability model for X?

No, because the sample space is missing values for X.
No, because the probabilities do not sum to 1.    
Yes, because all probabilities and all values for X are represented.
Yes, because all of the probabilities are between 0 and 1.
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