**Past test question(2014 Q4 g):***"Suppose that E_x = E_x^c + \frac{3}{4} d_x. Give, with assumptions, the age to which each of the estimates of the probability of death and the force of mortality for lives classified x would apply. " *

The answer is that q_x is estimated by \frac{d_x}{E_x} and mu_x+\frac{1}{4} is estimated by \frac{d_x}{E_x^c}. Please explain how these answers were concluded.