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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