The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled by P = 74.8e0.0312t where t represents the year, with t = 1 corresponding to 1971. (a) Use the model to complete the table. (Round your answers to the nearest whole number.) Year Population 1980 1990 2000 2010 (b) According to the model, when will the population of the county reach 330,000?
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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