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...

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 ? = 81 and estimated standard deviation ? = 45. A test result
x
< 40="" is="" an="" indication="" of="" severe="" excess="" insulin,="" and="" medication="" is="" usually="">

Extracted text: 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 = 81 and estimated standard deviation o = 45. A test result x < 40="" is="" an="" indication="" of="" severe="" excess="" insulin,="" and="" medication="" is="" usually="" prescribed.="" n="" use="" salt="" (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="" not="" normal.="" o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" u,="81" and="" o,="31.82." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" µz="81" and="" oz="45." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" u,="81" and="" o,="22.50." 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.) 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="">