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Important Note: Since it is a Python part, without further notice, all numbers and graphs need to be produced using Python by default. Question 5

Important Note: Since it is a Python part, without further notice, all numbers and graphs need to be produced using Python by default. Question 5 [10 points] The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it is small, is easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately normal, with mean 0.830 millimeter (mm) and standard deviation 0.075 mm. a. [2 points] What proportion of flies have thorax length less than 0.7 mm? b. [2 points] What proportion of flies have thorax length greater than 1.0 mm? c. [2 points] Explain how you can calculate the proportion of flies with thorax length between 0.7 mm and 1.0 mm. (You can use words/math/diagrams or combination of them. You can write/draw them by hand.) d. [2 points] Calculate the proportion illustrated in part c. e. [2 points] What value of thorax length gives a 25% proportion of flies above it?

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