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...

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 = 57 and estimated standard deviation o = 21. 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.)="" 0.0359="" (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="" approximately="" normal="" with="" u,="57" and="" o,="14.85." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" u-="57" and="" o,="21." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" u="57" and="" o="10.50." o="" the="" probability="" distribution="" of="" x="" is="" not="" normal.="" what="" is="" the="" probability="" that="" x="">< 40?="" (round="" your="" answer="" to="" four="" decimal="" places.)="" 0.0054="" (c)="" repeat="" part="" (b)="" for="" n="3" tests="" taken="" a="" week="" apart.="" (round="" your="" answer="" to="" four="" decimal="" places.)="" 0.0009="" a="" repeat="" part="" (b)="" for="" n="5" tests="" taken="" a="" week="" apart.="" (round="" your="" answer="" to="" four="" decimal="" places.)="" 0.00="" (e)="" compare="" your="" answers="" to="" parts="" (a),="" (b),="" (c),="" and="" (d).="" did="" the="" probabilities="" decrease="" as="" n="" increased?="" o="" yes="" o="" no="" us="" 2="" •="" i="" 12:23="" hp="">