Actuarial Science (stats) question, please show all workAn 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).

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