3.[10]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 the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.Round to four decimals in all your calculations.

1. [2 marks]Give a mathematical expression for the probability density function of battery life.Clearly state the domain of your random variable for battery life.
2. [2 marks]What is the probability that the battery life will be 10 hours or less?
3. [2 marks]What is the probability that the battery life will be at least 11 hours?
4. [2 marks]What is the probability that the battery life will be between 9.5 and 11.5 hours?
5. [2 marks]In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours?

TOTAL marks for page = [10]