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
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
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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