Consider a group of people who have received treatment for a disease such as cancer. let tt be the survival time, the number of years a person lives after receiving treatment. the density function giving the distribution of tt is p(t)=ce−ctp(t)=ce−ct for some positive constant cc, and the cumulative distribution function is p(t)=∫t0p(x)dxp(t)=∫0tp(x)dx. think carefully about what the practical meaning of p(t)p(t) is, being sure that you can put it into words.
Accepted Solution
A:
So we are given a distribution: [tex]p(t)=ce^{-ct}[/tex] Suppose we are looking at the probability that a person in the group live less than d days. Then we will use the integral the following way: [tex]P(x\ \textless \ d)=\int_{t_0}^dce^{-ct}dt[/tex]