(Solved): Problem 2 ( 7 points). A special survival model has a select period of three years. Functions for ...

Problem 2 ( 7 points). A special survival model has a select period of three years. Functions for this model are denoted by an asterisk \( * \). Functions without an asterisk are taken from the Canada Life Tables 2000-02, Males. You are given that, for all values of \( \mathrm{x} \), \[ p_{[x]}^{*}={ }_{4} p_{x-5} ; \quad p_{[x]+1}^{*}={ }_{3} p_{x-1} ; \quad p_{[x]+2}^{*}={ }_{2} p_{x+2} ; \quad p_{x}^{*}=p_{x+1} \] A life table, tabulated at integer ages, is constructed on the basis of the special survival model and the value of \( l_{25}^{*} \) is taken as 98363 . a) Construct the \( l_{[x]}^{*}, l_{[x]+1}^{*}, l_{[x]+2}^{*} \), and \( l_{x+3}^{*} \) columns for \( x=20,21,22 \). b) Calculate \( { }_{2 \mid 38} q_{[21]+1}^{*},{ }_{40} p_{[22]}^{*},{ }_{40} p_{[21]+1}^{*},{ }_{40} p_{[20]+2}^{*} \), and \( { }_{40} p_{22}^{*} \). \( A \pi_{1} \)