In a biomedical study with rats a dose response investigation is used to determine the effect of the dose of a toxicant on their survival time. The toxicant is a poisson discharged into the atmosphere from jet fuel. For a certain dose of the toxicant the study determines the survival time (in weeks) has a gamma distribution with λ= 1/10 and α= 5. What is the probability that a rat survives not more than 60 weeks?
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