50 40 30 10 20000 Assets 40000 # of Companies 20
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!
39. Assets Here is a histogram of the assets (in millions of
dollars) of 79 companies chosen from the Forbes list of
the nation’s top corporations:a) What aspect of this distribution makes it difficult to
summarize, or to discuss, center and spread?
b) What would you suggest doing with these data if we
want to understand them better?
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