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.

Solution:

Mean life of i-pad mini= 10.25 hours

Formula for mean life = , where d = Time Constant

Mean life of i-pad mini =  

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)= , where , d= time constant.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.