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University of Arizona Probability Statistics Questions

University of Arizona Probability Statistics Questions

Question Description

Attached is the template you will need to follow to do the assignment. Also attached is the solutions to the template. You just have to figure out how they got the solution. Questions are also below. Thank you!

5) In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as theiPad 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 Jour-nal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributedbetween 8.5 and 12 hours.

  1. Give a mathematical expression for the probability density function of battery life.
  2. What is the probability that the battery life for an iPad Mini will be 10 hours or less?
  3. What is the probability that the battery life for an iPad Mini will be at least 11 hours?
  4. What is the probability that the battery life for an iPad Mini will be between 9.5 and11.5 hours?
  5. In a shipment of 100 iPad Minis, how many should have a battery life of at least9 hours?

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