5. The time in days to development of a tumor for rats exposed to a carcinogen follows a Weibull distribution with a = 2 and λ = 0.005. To answer the following questions, you may want to use Table 2.2. (a) What is the probability a rat will be tumor free at 30 days? (b) What is the mean time to tumor? (Hints: I (1.5) (c) Calculate the hazard function. What is the shape of the hazard function? (d) Find the median time to tumor development and the 15th percentile of time to tumor development.
5. The time in days to development of a tumor for rats exposed to a carcinogen follows a Weibull distribution with a = 2 and λ = 0.005. To answer the following questions, you may want to use Table 2.2. (a) What is the probability a rat will be tumor free at 30 days? (b) What is the mean time to tumor? (Hints: I (1.5) (c) Calculate the hazard function. What is the shape of the hazard function? (d) Find the median time to tumor development and the 15th percentile of time to tumor development.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:5. The time in days to development of a tumor for rats exposed to a carcinogen follows a Weibull distribution
2 and λ = 0.005. To answer the following questions, you may want to use Table 2.2.
with a
=
(a) What is the probability a rat will be tumor free at 30 days?
(b) What is the mean time to tumor? (Hints: T (1.5)
(c) Calculate the hazard function. What is the shape of the hazard function?
(d) Find the median time to tumor development and the 15th percentile of time to tumor development.
=
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