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What Is the Cumulative Probability of Surviving to the End

question 6

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What is the cumulative probability of surviving to the end of the 4-year follow-up period? 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  interval  Died  during  interva 1 Withdre  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 xIxdxWxIxqxpxPx112200104013241502030253610030203748504010\begin{array}{l|l|l|l|l|l|l|l}\begin{array}{l}\text { Interval } \\\text { since } \\\text { beginning } \\\text { treatment } \\\text { (months) }\end{array} & \begin{array}{l}\text { Alive at } \\\text { beginning } \\\text { interval }\end{array} & \begin{array}{l}\text { Died } \\\text { during } \\\text { interva } \\1\end{array} & \begin{array}{l}\text { Withdre } \\\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 & & & &\end{array}


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