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Let x be a random variable that represents the level of glucose in the blood (mi

ID: 3051878 • Letter: L

Question

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 = 54 and estimated standard deviation = 43. 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) 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.)

Explanation / Answer

a)

probability that, on a single test, x < 40:

b) please revert on this as it looks same as part a)

c)

d)

for normal distribution z score =(X-)/ here mean=       = 54.000 std deviation   == 43