The function 20900-80x-x2 has been proposed for the survival function for a 20900

probability model.

(i) What is the implied limiting age w ?

(ii) Verify that the function satisfied the conditions for the survival function S0 (x) .

(iii) Calculate 20 p0

(iv) Calculate the survival function for a life age 20.

(v) Calculate the probability that a life aged 20 will die between age 30 and 40. 

(vi) Calculate the force of mortality at age 50