Consider a group of people who have received treatment for a diseasesuch as cancer. Let t be the survival time, the number of years a person lives after receivingtreatment. The density function giving the distribution of t is p(t) = Ce-Ct for some positiveconstant C, and the cumulative distribution function is P(t) = , p(x)dx.Think carefully about what the practical meaning of P(t) is, being sure that you can put it intowords.a) The survival function, S(t), is the probability that a randomly selected person survives for atleast t years. Find a formula for S(t).b) Suppose that a patient has a 80 percent chance of surviving at least 2 years. Find C.c) Using the value of C you found in (b), find the probability that the patient survives up to(that is, less than or equal to) 1 years.d) Using the value of C you found in (b), find the the mean survival time for patients with thissurvival function, in years.

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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, and the cumulative distribution function is P(t) = S, p(x)dx.

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, and the cumulative distribution function is P(t) = S, p(x)dx.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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