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2. A certain town is served by two hospitals. In the larger hospital about 45 babies are born each day, and in the smaller hospital,

2. A certain town is served by two hospitals. In the larger hospital about 45 babies are born each day, and in the smaller hospital, about 15 are born each day.

  1. As you know, about 50% of all babies are boys. However, the exact percentage varies from day to day. Sometimes it may be higher than 50%, and sometimes lower. For a period of one year, each hospital records the days when more than 60% of the babies born are boys. Which hospital would you expect to record more such days? Explain. Is this related to the coin flipping experiment?

  1. The length of each newborn baby is measured in both hospitals also. For a period of 1 year, each hospital records the days when the physically longest baby born that day exceeds 56cm. Which hospital would you expect to record more such days? Can you use the same logic for (a)? Or is something different about this problem?

7.1b

3. Let's say we have a population mean is 60 and a standard deviation is 5 for the average age of a president. Find the probability that a president will either be greater than 66 or less than 53 years old.

4. Sheila's doctor is concerned that she may be suffering from diabetes! Figuring out if a patient has diabetes can be challenging without running certain tests. In the test the doctor gave, there is a variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having diabetes if their glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. It is known that normally the mean glucose level is 125mg/dl with a standard deviation of 10mg/dl. What is the probability that Sheila will be diagnosed with diabetes? Or in other words, what is the probability that she will have a glucose level at or above 140mg/dl given by the test?

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