The amounts of soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.7 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selcted.
a) The probability that the drink is less than 11.5 fluid ounces is___
b) The probability that the drink is between 11.2 and 11.5 fluid ounces is _____
c) The probability that the drink is more than 12.2 fluid ounces is ___
(need four decimal places)
Is a drink containing more than 12.2 fluid ounces an unusual even? why?