The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation Statistics website, November 2, 2012). Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $110.

a.What is the probability that a domestic airfare is $550 or more (to 4 decimals)?

b.What is the probability that a domestic airfare is $250 or less (to 4 decimals)?

c.What if the probability that a domestic airfare is between $300 and $500 (to 4 decimals)?

d.What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)

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In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a.Give a mathematical expression for the probability density function of battery life.

b.What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

c.What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

d.What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

e.In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)