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Question: Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of bloo?
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 μ = 53 and estimated standard deviation σ = 35. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.

1. What is the probability that x < 40? (Round your answer to four decimal places.)???

2. Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 7.1....for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

3. Repeat part (2) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)???
  Edit

Answer: Here x has a distribution that is approximately normal, with mean μ = 53 and estimated standard deviation σ = 35.
So the probability that x < 40 is
= P(x < 40)
= P(z < ((40-53)/35))
= P(z < -0.371428571)
= 0.355169813
  Edit

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