A cohort study was conducted from January 1, 2010 through December 31, 2015 to determine survival after kidney transplant. Twenty-two patients were enrolled from January 1, 2010 through December 31, 2015. The study ended on December 31, 2015 (Dec. 31^st included in the study). The primary outcome was mortality due to complications after transplant.

Using the data below, answer the following questions:

Subject #	Date of Enrollment	Date of Last	Status at Last	Cause of Death
Follow-up	Follow-up
1	4/1/2011	10/16/2012	Dead	Complications
2	2/12/2011	1/15/2013	Alive
3	3/1/2011	5/29/2014	Dead	Car accident
4	4/1/2011	9/30/2014	Alive
5	10/13/2011	9/14/2015	Dead	Cancer
6	6/1/2011	5/30/2014	Alive
7	3/1/2011	9/30/2013	Alive
8	12/1/2011	4/30/2015	Dead	Cancer
9	7/24/2011	1/31/2013	Dead	Complications
10	9/13/2011	7/1/2012	Dead	Complications
11	2/1/2011	7/11/2015	Alive
12	1/1/2011	4/12/2015	Dead	Complications
13	7/15/2011	6/29/2015	Alive
14	5/1/2011	1/29/2014	Alive
15	9/25/2011	7/30/2012	Dead	Complications
16	10/11/2011	9/22/2013	Dead	Complications
17	11/15/2011	12/30/2015	Dead	Cancer
18	8/1/2011	9/30/2013	Alive
19	6/17/2011	7/31/2015	Dead	Complications
20	7/4/2011	3/31/2015	Dead	Complications
21	3/27/2011	7/1/2012	Dead	Cancer
22	3/1/2011	7/15/2015	Dead	Complications

1. What is the study period? What was the longest (maximum) follow-up time seen in the study? What was the shortest (minimum)follow-up time seen in the study? (4 pts)

The total study period is 6 years because patients were enrolled from January 1, 2010, through December 31, 2015.

The longest follow up time seen is 53 months (subject #11)

Shortest follow up time seen is 9 months (subject #10)

Construct a classical life table below using 1-year intervals for the outcome death due to kidney transplant complications. (Hint: First create a synthetic fixed cohort)

From the life table, calculate the cumulative incidence of mortality due to complications for the study period. Provide an interpretation

What is the probability of kidney transplant complication mortality in the 4th year of the study?

What is the probability of survivingthe 3rd year of the study given that you survived the first two years?

What is the probability of survival to the end of the 3rd year of follow-up?

.Explain the difference between the probabilities calculated in question 5 and 6.