1. The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.6 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.
a) Find the probability that the drink is less than 11.4 fluid ounces.
b) Find the probability that the drink is between 11.1 and 11.4 fluid ounces.
c) Find the probability that the drink is more than 12 fluid ounces. Unusual event?
2. Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.
The z-score that corresponds to P (8 is a subscript) 8 ? (Round to 2 decimal places.)