Answer the following questions. About 68 percent of the 1. batteries failed between what two values? Mt 6 About 95 percent of the 2. batteries failed between t what two values? 3. Virtually all of the batteries failed between what two values?
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!
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As part of its quality assurance
program, the Autolite
Battery Company conducts
tests on battery life. For a
particular D-cell alkaline
battery, the mean life is 19
hours. The useful life of the
battery follows a normal
distribution with a standard w Le
deviation of 1.2 hours.
Answer the following questions. u jas
1.
About 68/percent of the
batteries failed between
what two values? Mt 6 19+
About 95 percent of the
batteries failed between + 2%)t
what two values?
2.
Virtually all of the batteries
3.
failed between what two
values?"
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