The life table function Qx is given by Qx1 x5 5x10 i Find th

The life table function Q(x) is given by Q(x)=1 x/5, 5x10.

(i) Find the corresponding age-specific death rate h(x).

(ii) Find the corresponding cumulative distribution function, F(x), of length of life X.

(iii) Hence identify the distribution for X and state the mean length of life.   

Solution

f(x) = 1 - (x/5); 5<=x<= 10

0, in other case

H(X) = (x/5)-1