Battery life between charges for the Motorola Droid Razr Maxx is 20 hours when theprimary use is talk time (the Wall Street Journal, March 7, 2012). The battery life drops to7 hours when the phone is primarily used for Internet applications over cellular. Assumethat the battery life in both cases follows an exponential distribution.a. Show the probability density function for battery life for the Droid Razr Maxx phonewhen its primary use is talk time.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Battery life between charges for the Motorola Droid Razr Maxx is 20 hours when the
primary use is talk time (the Wall Street Journal, March 7, 2012). The battery life drops to
7 hours when the phone is primarily used for Internet applications over cellular. Assume
that the battery life in both cases follows an exponential distribution.
a. Show the probability density
when its primary use is talk time.
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