5. Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean u = 85 and estimated standard deviation o = 25. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x < 40? That's find P(x < 40) (b) Suppose a doctor uses the average x fat two tests taken about a week apart. What is the probability that ( Hint: Your standard deviation here should be) P(x < 40)

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5. Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood)
after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately
normal, with mean u = 85 and estimated standard deviation a = 25. A test result x< 40 is an indication of
severe excess insulin, and medication is usually prescribed.
(a) What is the probability that, on a single test, x < 40? That's find P(x < 40)
(b) Suppose a doctor uses the average x fot two tests taken about a week apart. What is the probabilit that
( Hint: Your standard deviation here should be )
P(ĩ < 40)
Transcribed Image Text:5. Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean u = 85 and estimated standard deviation a = 25. A test result x< 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x < 40? That's find P(x < 40) (b) Suppose a doctor uses the average x fot two tests taken about a week apart. What is the probabilit that ( Hint: Your standard deviation here should be ) P(ĩ < 40)
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