1. Battery manufacturers compete on the basis of the amount of time their products last in cameras and toys. A manufacturer of alkaline batteries has observed that its batteries last for an average of 26 hours when used in a toy racing car. The amount of time is normally distributed with a standard deviation of 2.5 hours. What is the least amount of time that 34.6% of the batteries will last in a toy racing car?
2. An airline boasted that there is only a 30% chance that a customer's luggage would be lost. If fifteen customers are selected at random, what is the probability that between 3 and 9 (inclusive) of the customer's bags will be lost? Also calculate the expected value AND standard deviation of the number of lost bags.
3. The beef industry found that the per capita consumption of red meat in the U.S. in a recent year was normally distributed, with a mean of 151.6 pounds and a standard deviation of 46.3 pounds. If a person is selected at random, what is the probability that they consumed between 151 to 154.3 pounds of red meat?