Problem:
Assume that in the general population, CBF(cerebral blood flow in the brain) is normally distributed with mean = 75 mL/100 g brain tissue and standard deviation = 17 mL/100 g brain tissue. A patient is classified as being at risk for stroke if his or her CBF is lower than 40 mL/100 g brain tissue. What proportion of patients will be classified as being at risk for stroke?
Solution:
X=cerebral blood flow in the brain (mL/100 g brain tissue)
Proportion of patients will be classified as being at risk for stroke is:
P(X<40)=P((X-mean)/Std. Deviation <(40-75)/17)=P(Z<-2.06)=0.0197=1.97%
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