The victims of a certain disease being treated at Wake Medical Center

iricky827b

iricky827b

Answered question

2021-11-14

The victims of a certain disease being treated at Wake Medical Center are classified annually as follows: cured, in temporary remission, sick, or dead from the disease. Once a patient is cured, he is permanently immune. Each year, those in remission get sick again with probability 0.17, are cured with probability 0.18, die with probability 0.05, and stay in remission with probability 0.6. Those who are sick are cured with probability 0.05, die with probability 0.2, go into remission with probability 0.4, and remain sick with probability 0.35.
Find the transition matrix and do the calculations necessary to answer the following questions. (Give your answers correct to three decimal places.)
(a) If a patient is now in remission, what is the probability he is still alive in two years? (Hint: In which states is a patient alive?)
(b) If a patient is now in remission, what is the probability he dies within three years?

Answer & Explanation

Alicia Washington

Alicia Washington

Beginner2021-11-15Added 23 answers

Step 1
curdRemissionsickdeadcured1000remission0.180.60.170.05sick0.050.40.350.2
Part a
Probability =2(0.18+0.6+0.17)
=1.9
Part b
Probability =3(0.05)
=0.15

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