Question

This is a statistic question from survival analysis data

Question:

The Gompertz distribution is commonly used by biologists who believe that an exponential hazard rate should occur in nature. Suppose that the time to death in months for a mouse exposed to a high dose of radiation follows a Gompertz distribution with 0.01 and 0.25.

Find

(a) the probability that a randomly chosen mouse will live at least one year,

(b) the probability that a randomly chosen mouse will die within the first six months, and

(c) the median time to death.

Please solve all the parts with steps explained in details. Please highlight the final answers

Thanks

Answer 1

0.25 0.01t -0.25eo . 이 t d t 0 01 x 25 eee 0 0lt 0 01x0.25 e d t 0 o olt o oIt ov, 0. 25 e 0. oit 0 25 (e 01 x ulo lo 25 (e Requived prbabiuhy I Fx (12) o 01 x 12 -0.25 ( e-