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Problem: Suppose that the distribution of typing speed in words per minute(wpm) for experienced typists using a new type of split key board can be approximated by a normal curve with mean 60 wpm and standard deviation 15 wpm("The Effects of Split Keyboard Geometry on Upper body Postures,"Ergonomics [2009]:104-111).
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Question 1: What is the probability that a randomly selected typist's speed is at most 60 wpm?
Question 2: What is the probability that a randomly selected typist's speed is less than 60 wpm?
Question 3: What is the probability that a randomly selected typist's speed is between 45 and 90 wpm?
Question 4: Suppose that two typists are independently selected. What is the probability that both their typing speeds exceed 75 wpm?
Question 5: Suppose that special training is to be made available to the slowest 20% of the typists. What typing speeds would qualify individuals for this training?
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