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What is the practical meaning for the cdf

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Reference no: EM131607426

Question: Consider a group of people who have received treatment for a disease such as cancer. Let t be the survival time, the number of years a person lives after receiving treatment. The density function giving the distribution of t is p(t) = Ce-Ct for some positive constant C.

a) What is the practical meaning for the cumulative distribution function

P(t) = 0∫t p(x) dx?

b) The survival function, S(t), is the probability that a randomly selected person survives for at least t years. Find S(t).

c) Suppose a patient has a 70% probability of surviving at least two years. Find C.

Reference no: EM131607426

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