# STAT 312 - Quiz 3 - Hughes - F16.pdf - Stat-312 Quiz#03...

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Stat-312: Quiz #03 Name: Key 1. A vending machine accepts nickels, dimes, and quarters, and rejects any objects that it does not recognize as one of these coins. Unfortunately, the machine also randomly rejects valid coins. The probability mass function for the number of times the machine rejects a valid coin is given in the table. k P(X=k) What is the chance that the machine will reject a valid coin more than three times before the coin is accepted? 1 0.15 (a) What is the chance that the machine will reject a valid coin more than three times before the coin is accepted?
(b) Calculate the mean and standard deviation for the distribution.
(c) Identify all inner-fence outliers in the distribution.
(d) Draw the PMF in the space below. Draw the locations of the mean and standard deviation of the distribution in the PMF drawing.