Question

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.

Answer 1

Mean life of i-pad mini= 10.25 hours

Formula for mean life =
`e^(-T)/(d)}`, where d = Time Constant

Mean life of i-pad mini =
`e^(-10.25)/(d)}`

Battery life of the i pad mini is uniformly distributed between 8.5 and 12 hours.It can be written as

Pr (8.5 ≤ X ≤ 12)=
`\int\limits^(12)_(8.5) {e^(-10)/(d)}} \, dx`, where , d= time constant.