This question is in the library, but has multiple answers making it confusing. I understand that the probability of surviving 2 years after being diagnosed with a slow-growing form of prostate cancer is 0.85, but where I'm confused is who does this apply to - only the study participants or study participants and everyone else who decide not to seek treatment. This tail-end is where there are multiple answers in the library. Can you explain? **Instruction:**Assume the below life table was constructed from individuals diagnosed with a slow-progressing form of prostate cancer who decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meier approach and interpret the results.**Life Table:**| Time in Years | Number at Risk, \( N_t \) | Number of Deaths, \( D_t \) | Number Censored, \( C_t \) | Survival Probability ||---------------|-----------------|--------------|-----------------|----------------------|| 0 | 20 | | | 1 || 1 | 20 | 3 | | || 2 | 17 | 2 | 1 | || 3 | 16 | 2 | 1 | |**Calculations:**- At year 0, survival probability is 1 (100%).- At year 1, survival probability = (number at risk - number of deaths)/number at risk = (20-3)/20 = 0.85.- For year 2, adjust for censored data and calculate the survival probability.**Interpretation Options:**a. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is 0.85.b. The probability of surviving 2 years after diagnosis is 0.85 for individuals being followed in this study.c. The probability of surviving 2 years after diagnosis is 0.85 for individuals who decided against all forms of treatment.d. The probability of surviving 2 years is 0.85 for individuals in the study and who decided against all forms of treatment.**Answer Questions:**- True/False section to follow.This explanation provides an overview and calculation method using a hypothetical life table for prostate cancer patients.

5. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results. Time in Years 0 1 2 3 Number at Risk, Nt 20 20 17 16 Number of Deaths, Dt 3 2 Number Censored, Ct 1 1 Survival Probability 1 a. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. b. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. c. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. d. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study and for individuals who decided against all forms of treatment.

5. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results. Time in Years 0 1 2 3 Number at Risk, Nt 20 20 17 16 Number of Deaths, Dt 3 2 Number Censored, Ct 1 1 Survival Probability 1 a. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. b. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. c. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. d. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study and for individuals who decided against all forms of treatment.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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