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...


Letx 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 ? = 72 and estimated standard deviation ? = 50. A test resultx < 40 is="" an="" indication="" of="" severe="" excess="" insulin,="" and="" medication="" is="" usually="">



(a) What is the probability that, on a single test,x < 40? (round="" your="" answer="" to="" four="" decimal="">

(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.
-The probability distribution of x is approximately normal with ?x = 72 and ?x = 25.00.

-The probability distribution of x is not normal.

-The probability distribution of x is approximately normal with ?x = 72 and ?x = 35.36.

-The probability distribution of x is approximately normal with ?x = 72 and ?x = 50.


What is the probability that x < 40? (round="" your="" answer="" to="" four="" decimal="">




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


Jun 02, 2022
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