Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7350 and estimated...

(d)

Extracted text: Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7350 and estimated standard deviation o = 2300. A test result of x < 3500="" is="" an="" indication="" of="" leukopenia.="" this="" indicates="" bone="" marrow="" depression="" that="" may="" be="" the="" result="" of="" a="" viral="" infection.="" (a)="" what="" is="" the="" probability="" that,="" on="" a="" single="" test,="" x="" is="" less="" than="" 3500?="" (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?="" o="" the="" probability="" distribution="" of="" x="" is="" not="" normal.="" o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" uy="7350" and="" o="1626.35." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" uy="7350" and="" o="1150.00." o="" the="" probability="" distribution="" of="" x="" is="" approximately="" normal="" with="" uy="7350" and="" o,="2300." what="" is="" the="" probability="" of="" x="">< 3500?="" (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.)="" (d)="" compare="" your="" answers="" to="" parts="" (a),="" (b),="" and="" (c).="" how="" did="" the="" probabilities="" change="" as="" n="" increased?="" o="" the="" probabilities="" increased="" as="" n="" increased.="" o="" the="" probabilities="" stayed="" the="" same="" as="" n="" increased.="" o="" the="" probabilities="" decreased="" as="" n="" increased.="" if="" a="" person="" had="" x="">< 3500 based on three tests, what conclusion would you draw as a doctor or a nurse? o it would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. the person probably has leukopenia. o it would be a common event for a person to have two or three tests below 3,500 purely by chance. the person probably has leukopenia. o it would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. the person probably does not have leukopenia. o it would be a common event for a person to have two or three tests below 3,500 purely by chance. the person probably does not have leukopenia. 3500="" based="" on="" three="" tests,="" what="" conclusion="" would="" you="" draw="" as="" a="" doctor="" or="" a="" nurse?="" o="" it="" would="" be="" an="" extremely="" rare="" event="" for="" a="" person="" to="" have="" two="" or="" three="" tests="" below="" 3,500="" purely="" by="" chance.="" the="" person="" probably="" has="" leukopenia.="" o="" it="" would="" be="" a="" common="" event="" for="" a="" person="" to="" have="" two="" or="" three="" tests="" below="" 3,500="" purely="" by="" chance.="" the="" person="" probably="" has="" leukopenia.="" o="" it="" would="" be="" an="" extremely="" rare="" event="" for="" a="" person="" to="" have="" two="" or="" three="" tests="" below="" 3,500="" purely="" by="" chance.="" the="" person="" probably="" does="" not="" have="" leukopenia.="" o="" it="" would="" be="" a="" common="" event="" for="" a="" person="" to="" have="" two="" or="" three="" tests="" below="" 3,500="" purely="" by="" chance.="" the="" person="" probably="" does="" not="" have="">