Year Number of Polio Cases (thousands) 1988 350 1992 138 1996 34 2000 5 2005 3.2 2007 1.3 Let f(t) be the number of polio cases in thousands t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? (Exponential Find an equation of f. Hint f(t) : Round the coefficients to 4 decimal places. The number of polio cases is ( decreasing / by 25.72% per year. Predict the number of polio cases in 2014. Hint Predict in which year there will be 1 case of polio. Hint Find the approximate half-life of the number of polio cases. Hint years
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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