Question

A biomedical investigation found that the survival time, in weeks, of an animal when subjected to a certain gamma radiation exposure has a gamma distribution with α = 5 and β = 10. What is the probability that an animal survive more than 50 weeks?

Answer using 4 decimals.

Answer 1

subjected to a A biomedical investigation found that the Survival time in weeks, of an animal when certain gamma radiation exposure has gamma distribution with d=5 and B = 10. What the probability that an animal survive more that 50 weeks. Y 4 decimal. Answer using Let Random Variable T denote the animal Time Survival then, IN Gamma (x,B Where x = 5, ß =10 more then the probability that an animal survive than 50 weeks 18 denosted by PCT >50). and P(T>50) = S(50) - S(50) = 1 - 1 - P(1950) > P (T>50) = 1-P (T250) where I ~ Gamma (5.10) 1 -0.5595067 [using Gomma di$t table] 0.440 4933 - 0.4405 Round off 4 decimal place, P (T>50) Therefore, the probability that an animal survive then 50 weeks 0.4405 ans more NOTE: we calculate P (T550) using EXCEL in EXCEL cornmond GAMMA. DIST (50,5,10, TRUE) = 0.5595067