Asked by Sofia Mendez on May 07, 2024
Verified
What is the probability of dying in those who did not die during the 25- to 36-month interval? Use the following table to answer the question. Survival of Patients With Metastatic Cancer Z Following Diagnosis
Interval since beginning treatment (months) Alive at beginning of interval Died during interva 1 Withdre w during interval Effective number exposed to risk of dying Proporti on who died during interval Proportion who did not die during interval Cumulative proportion who survived from enrollment to end of interval xIxdxWxIx′qxpxPx1−12200104013−24150203025−36100302037−48504010\begin{array}{|l|l|l|l|l|l|l|l|}\hline \begin{array}{l}\text { Interval } \\\text { since } \\\text { beginning } \\\text { treatment } \\\text { (months) }\end{array} & \begin{array}{l}\text { Alive at } \\\text { beginning } \\\text { of } \\\text { interval }\end{array} & \begin{array}{l}\text { Died } \\\text { during } \\\text { interva } \\1\end{array} & \begin{array}{l}\text { Withdre } \\\text { w during } \\\text { interval }\end{array} & \begin{array}{l}\text { Effective } \\\text { number } \\\text { exposed } \\\text { to risk of } \\\text { dying }\end{array} & \begin{array}{l}\text { Proporti } \\\text { on who } \\\text { died } \\\text { during } \\\text { interval }\end{array} & \begin{array}{l}\text { Proportion } \\\text { who did not } \\\text { die during } \\\text { interval }\end{array} & \begin{array}{l}\text { Cumulative } \\\text { proportion } \\\text { who } \\\text { survived } \\\text { from } \\\text { enrollment } \\\text { to end of } \\\text { interval }\end{array} \\\hline x & I_{x} & d_{x} & W_{x} & I_{x}^{\prime} & q_{x} & p_{x} & P_{x} \\\hline 1-12 & 200 & 10 & 40 & & & & \\\hline 13-24 & 150 & 20 & 30 & & & & \\\hline 25-36 & 100 & 30 & 20 & & & & \\\hline 37-48 & 50 & 40 & 10 & & & & \\\hline\end{array} Interval since beginning treatment (months) x1−1213−2425−3637−48 Alive at beginning of interval Ix20015010050 Died during interva 1dx10203040 Withdre w during interval Wx40302010 Effective number exposed to risk of dying Ix′ Proporti on who died during interval qx Proportion who did not die during interval px Cumulative proportion who survived from enrollment to end of interval Px
A) 0.30
B) 0.33
C) 0.38
D) 0.67
E) 0.70
Probability of Dying
The likelihood or chance that an individual will die from a specific cause or condition within a given time period.
Metastatic Cancer
Cancer that has spread from the primary site to other parts of the body, often leading to more complex treatment strategies.
Diagnosis
The process of determining which disease or condition explains a person's symptoms and signs.
- Distinguish between survival and mortality rates in a given population.
Verified Answer
MM
Morgan MichelMay 08, 2024
Final Answer :
D
Explanation :
The probability of dying for those who did not die during the 25- to 36-month interval is calculated for the next interval (37-48 months). Given that 30 people died during the 25-36 month interval, 100 - 30 = 70 people entered the 37-48 month interval. Of these, 40 died, so the probability of dying is 40/70 = 0.57. However, the question seems to be incorrectly interpreted based on the provided information. Without the effective number exposed to risk of dying ( Ix′I_x'Ix′ ) and the exact question intent, it's challenging to provide a precise answer. Assuming the question asks for the probability of dying after surviving past the 25-36 month interval, and considering potential misinterpretation, the closest answer reflecting a general understanding of the data would be to consider the proportion who died during the 37-48 month interval as an approximation. However, without clear calculation steps provided in the table, any selection might not accurately reflect the intended calculation.
Learning Objectives
- Distinguish between survival and mortality rates in a given population.
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