4) The average number of red blood cells per cubic mm in humans is about 5 million. We'll let μ = 5,000,000, and o=500,000. Let's also assume that the number of red blood cells follows a normal distribution. a) Give the values for the number of red blood cells for the middle 70% of people. (Hint/comment: if, for example, you want values for the middle 60%, you need to figure out many percent go in each tail. In other words, you have 40% left that you need to divide equally into each tail. You will need two numbers in your answer. Draw a picture to help you.) b) Give the values for the number of red blood cells for the middle 95% of people. c) Give the 97.5th percentile. d) Are you surprised by the answers to (b) and (c)? Explain. If you're not sure what's going on, draw some pictures of the normal curves. e) Calculate the 1" percentile. f) Suppose you come across a person with a red blood cell count of 3,500,000 per cubic mm. Would you think anything was unusual about this person? Why or why not (make sure you explain this!!).
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