What Is the Cumulative Probability of Surviving to the End

question 6

Multiple Choice

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

• A) 0.06
• B) 0.11
• C) 0.54
• D) 0.67
• E) 0.89

---

Definitions:

Actual Manufacturing Overhead Costs

The incurred expenses related to producing goods that are not directly tied to the product such as utilities, rent, and maintenance.

Overapplied Overhead

A situation where the allocated manufacturing overhead costs for a period exceed the actual overhead costs incurred.

Manufacturing Overhead Costs

All indirect costs associated with the production process, such as utilities, rent, and salaries for non-direct labor.

Actual Manufacturing Overhead Costs

The real costs incurred from indirect manufacturing expenses such as utilities, rent, and salaries not directly tied to production.