104lab2solnsW21 (1).pdf - MA104 Lab Report 2 Approximate...

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MA104 Lab Report 2 - Approximate Integration, Improper Integrals Winter 2021 Open the file Lab 2 Maple Worksheet (found on MyLearningSpace) in Maple. Read through the file and use it for Questions 1 and 3. Make sure to write down all your answers. You do not need to submit your Maple code with your lab today. You will lose marks for poor form. 1. [6 marks ] In a biomedical study, a dose-response investigation is used to determine the effect of a dose of a toxicant on the survival time of rats. Suppose, for a certain dose of the toxicant, the mean survival time is μ = 40 weeks. Let X represent the survival time in weeks. The probability that a rat will survive between a and b weeks is then given by P ( a X b ) = Z b a x 4 e - x/ 10 4! 10 5 dx (a) Define f ( x ) = x 4 e - x/ 10 4! 10 5 in Maple. [Hints: Type 4! for 4! and exp(-x/10) for e - x/ 10 .] (b) By hand, approximate the probability that a rat survives fewer than 30 weeks using Simpson’s Rule, with n = 6 equal width subintervals. Round your answer to six decimal places.

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