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
\(\begin{array}{|l|l|l|l|l|l|l|l|}
\hline \begin{array}{l}
\text { Interval } \
\text { since } \
\text { beginning } \
\text { treatment } \
\text { (months) }
\end{array} & \begin{array}{l}
\text { Alive at } \
\text { beginning } \
\text { of } \
\text { interval }
\end{array} & \begin{array}{l}
\text { Died } \
\text { during } \
\text { interva } \
1
\end{array} & \begin{array}{l}
\text { Withdre } \
\text { w during } \
\text { interval }
\end{array} & \begin{array}{l}
\text { Effective } \
\text { number } \
\text { exposed } \
\text { to risk of } \
\text { dying }
\end{array} & \begin{array}{l}
\text { Proporti } \
\text { on who } \
\text { died } \
\text { during } \
\text { interval }
\end{array} & \begin{array}{l}
\text { Proportion } \
\text { who did not } \
\text { die during } \
\text { interval }
\end{array} & \begin{array}{l}
\text { Cumulative } \
\text { proportion } \
\text { who } \
\text { survived } \
\text { from } \
\text { enrollment } \
\text { to end of } \
\text { interval }
\end{array} \
\hline x & I_{x} & d_{x} & W_{x} & I_{x}^{\prime} & q_{x} & p_{x} & P_{x} \
\hline 1-12 & 200 & 10 & 40 & & & & \
\hline 13-24 & 150 & 20 & 30 & & & & \
\hline 25-36 & 100 & 30 & 20 & & & & \
\hline 37-48 & 50 & 40 & 10 & & & & \
\hline
\end{array}\)

Question

Quizplus · Accepted Answer

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 ($I_x'$) 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.

What Is the Probability of Dying in Those Who Did