A grocery store has 18 two-liter bottles of diet cola on the shelf, four of which have exceeded their shelf-life date. You randomly select three bottles of diet cola without checking the expiration date. Determine the probability of the following:

a. None of the bottles have exceeded their expiration date.

b. At least two of the bottles have exceeded their expiration date.

c. Calculate the mean and standard deviation of this distribution.

d. Verify your results with Excel.

AppendixLO1