An employer is modelling time to retirement of workers using the Kaplan-Meier estimator. You are given the following information. (i) There are 1000...

Actuarial Science (stats) question, please show all work

An employer is modelling time to retirement of workers usingthe Kaplan-Meier estimator. You are given the following information.(i)There are 1000 workers in force at time 0.(ii) At time 10, there are 600 workers remaining.(iii) The Kaplan-Meier estimate of the survival function for retirement at time 10 is S,co. (10)= 0.8.(iv) The next retirement after time 10 occurred at time 12, when 100 workers retired.(v) During the period from time 10 to time 12, a total of 200 workers dropped out for variousother reasons.Calculate Sjoo (12) , the Kaplan-Meier estimate of the survival function S(12).