When a machine dispensing cola at a bottling plant is working correctly, it dispenses a mean of 12 ounces of cola per bottle with a standard deviation of 0.2 ounces.
a. When the machine is working correctly, what percentage of the bottles will be filled with between 11.6 and 12.4 ounces of cola?
At least ______________.
b. On a particular day, the bottling plant supervisor randomly selects two bottles from among those filled by the machine. One bottle contains 11.8 ounces of cola, and the other contains 12.1 ounces of cola. Based on the contents of these two bottles, what can the supervisor infer (conclude) about the machine's performance?
____________________________
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