In: Statistics and Probability
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 = 83 and estimated standard deviation σ = 44. 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.)
What is the probability that x < 40? (Round your answer to four decimal places.) Repeat part '
(b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)
Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)