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 μ = 56 and estimated standard deviation σ = 48. 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 three decimal places.)

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

(c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to three decimal places.)

(d) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to three decimal places.)

Answer 1

Refer Standard normal table/Z-table to find the probability.

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Refer Standard normal table/Z-table to find the probability.

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Refer Standard normal table/Z-table to find the probability.

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Refer Standard normal table/Z-table to find the probability.

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