Median time to death

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A biostatistician is investigating the time, T, to death of a mouse exposed to a newly developed pesticide. He finds 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 .5that is, f(.5)? Justify your answer.

  1. f(.5) is the median time to death.
  2. f(.5) is the rate of change in the cdf, F(t) at time .5
  3.  50% of all mice exposed to the pesticide will die before time f(.5).
  4. f(.5)% of all mice exposed to the pesticide will die.

Reference no: EM132122200

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