Consider a population of individuals with a disease. Supposethat t is the number of
Chapter 8, Problem 24(choose chapter or problem)
Consider a population of individuals with a disease. Supposethat t is the number of years since the onset of thedisease. The death density function, f(t) = ctekt, approximatesthe fraction of the sick individuals who die inthe time interval [t, t + t] as follows:Fraction who die f(t)t = ctekttwhere c and k are positive constants whose values dependon the particular disease.(a) Find the value of c in terms of k.(b) If 40% of the population dies within 5 years, find cand k.(c) Find the cumulative death distribution function,C(t). Give your answer in terms of k.
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