ABC Builder decides to apply a veneer to an external part of the building in order to protect it from erosion. If the density of the veneer follows a uniform distribution between 12 and 24 microns, determine: the mean density of the veneer of the protective building The standard deviation of the density of the protective building The probability that the protective building is between 15- and 20-microns dense The probability that the protective building is less than 22 microns dense.
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!
ABC Builder decides to apply a veneer to an external part of the building in order to protect it from erosion. If the density of the veneer follows a uniform distribution between 12 and 24 microns, determine:
- the
mean density of the veneer of the protective building
- The standard deviation of the density of the protective building
- The
probability that the protective building is between 15- and 20-microns dense
- The probability that the protective building is less than 22 microns dense.
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