Based on data reported on the International Bone Marrow Transplant Registry, the survival function for a person given an HLA-identical sibling transplant for refractory multiple myeloma is given by   x S(x) Months post transplant Survival probability 0≤x<6 1.00 6≤x<12 0.65 12≤x<18 0.45 18≤x<24 0.35 24≤x<30 0.30 30≤x<36 0.25 36≤x<42 0.15 42≤x<48 0.10 48≤x<54 0.06 x≥54 0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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4. Based on data reported on the International Bone Marrow Transplant Registry, the survival function for a person given an HLA-identical sibling transplant for refractory multiple myeloma is given by

 

x

S(x)

Months post transplant

Survival probability

0≤x<6

1.00

6≤x<12

0.65

12≤x<18

0.45

18≤x<24

0.35

24≤x<30

0.30

30≤x<36

0.25

36≤x<42

0.15

42≤x<48

0.10

48≤x<54

0.06

x≥54

0

                       

(a)    Find the probability mass function for the time to death for a refractory multiple myeloma bone marrow transplant patient, denoted by X.

(b)   Find the hazard rate of X.

(c)   Find the median time to death and the 75th percentile of X.

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