In a town of 50,000 people, there were initially 80 cases of a particularly virulent strain of flu.The Center for Disease Control and Prevention in Atlanta claims that the cumulative number of infections will increase by 30% per week if there are no limiting factors. The cumulative number of cases of flu in the town is given by f(x)= L/(1+Ae^(-Bx)) cases, x weeks since the initial outbreak. Complete the model by finding the values for L, A, and B: A) What is the limiting value for f(x)? B) What is the initial value for f(x)? C) Use the values from A and B to find the value of the constant A in the model f(x).
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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