5. The population, in millions, of Country C is given by the equation f(t) = 16 • e 0.024) . The population of Country D is given by g(t) = 17.5 • e(0.025£) . In both equations, t is the number of years since 1980. a. Will there be a time when the two populations are equal? Explain your reasoning and support your answer with mathematics. b. At some point in time the population of Country C reached 30 million. When does this happen? Explain your reasoning and support your answer with mathematics.
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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