questions (d) and (e) 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 =69 and estimated standard deviation o = 28. 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? (Round your answer to four decimal places.)(b) 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 6.1.O The probability distribution of x is approximately normal with u, = 69 and o, = 14.00.O The probability distribution of x is approximately normal with u, = 69 and o, = 19.80.O The probability distribution of x is not normal.O The probability distribution of x is approximately normal with u, = 69 and o, = 28.What is the probability that x < 40? (Round your answer to four decimal places.)(c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)(d) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)(e) Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?O YesO NoExplain what this might imply if you were a doctor or a nurse.O The more tests a patient completes, the weaker is the evidence for lack of insulin.O The more tests a patient completes, the weaker is the evidence for excess insulin.O The more tests a patient completes, the stronger is the evidence for excess insulin.O The more tests a patient completes, the stronger is the evidence for lack of insulin.

Name: questions (d) and (e) Let x be a random variable that represents the l
Uploaded: 2024-03-20T07:07:37.000Z
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Description: questions (d) and (e) 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,