A biostatistician is investigating the time, T, to death of a mouse exposed to a newly

developed pesticide. He nds that the pdf of T is given by the following formula f(t) = 15t2e????5t3

.

Which of the following statements best describes the value of the pdf evaluated at t = :5; that is, f(:5)?

Justify your answer.

A. f(:5) is the median time to death.

B. f(:5) is the rate of change in the cdf, F(t) at time t = :5

C. 50% of all mice exposed to the pesticide will die before time f(:5).

D. f(:5)% of all mice exposed to the pesticide will die.