statistics and probability

13-3 MULTIPLE-DECREMENT MODELS (THEORY) 357 The career of a 50-year-old Professor of Actuarial Science is subject to two decre- ments. Decrement I is mortality, which is governed by a uniform survival distribu- tion with O = 100, and Decrement 2 is leaving academic employment, which is gov- erned by the HRF = .05, for all y 2 50. Find the probability that this professor remains in academic employment for at least five years but less than ten years.