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QUESTION 4 0.5 points Save Answer A person\'s glucose level and diabetes are clo

ID: 3050300 • Letter: Q

Question

QUESTION 4 0.5 points Save Answer A person's glucose level and diabetes are closely related. Let X be a random variable measured in milligrams of glucose per deciliter (mg/dc) of blood. After a 12-hour fast, the random variable X will have a distribution that is approximately normal with mean 85 and standard deviation 25. A person is considered to be pre-diabetic if their blood glucose values fall between 108 and 125 mg/dl. Calculate the expected proportion of people that are pre- diabetic. Please round to 3 decimal places QUESTION 5 0.5 points Save Answer A person's glucose level and diabetes are closely related. Let X be a random variable measured in milligrams of glucose per deciliter (mg/dc) of blood. After a 12-hour fast, the random variable X will have a distribution that is approximately normal with mean 85 and standard deviation 25. A person is considered to be diabetic if their fasting blood glucose level is above 125 mg/dc. If we measured a sample of 1,000 people, how many would we expect to be diabetic? Please round your answer to a whole number. QUESTION 6 0.5 points Save Answer A person's glucose level and diabetes are closely related. Let X be a random variable measured in milligrams of glucose per deciliter (mg/dc) of blood. After a 12-hour fast, the random variable X will have a distribution that is approximately normal with mean 85 and standard deviation 25. What is the probability that, after this 12 hour fast, X is between 60 and 105 mg/dc? Please report your answer to 3 decimal places.

Explanation / Answer

4)

proportion between 108 and 125:

5)

threrfore expected to be diabetic =1000*0.0548 =~55

6)

( plase try 0.629 if above does not work due to rounding)

for normal distribution z score =(X-)/ here mean=       = 85.000 std deviation   == 25
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