If the survival function S(t) = 1 – t/b for 0  t  b for a fixed positive constant

b, calculate the hazard function h(t) for 0  t 

b. Recall that F(t) = 1

– S(t) and f (t) is the derivative of F with respect to t. By definition, h(t) =

f (t)/S(t). What is the lowest value for the hazard rate? Is there a highest value for the hazard rate? (Hint: Choose M large. If there exists a c < b such that h

(c) is greater than M and M is arbitrary, then there is no highest value for the hazard function.)