Diagnosing stroke strictly on the basis of clinical symptoms is difficult. A standard diagnostic test used in clinical medicine to detect stroke in patients is the angiogram. This test has some risks for the patient, and researchers have developed several noninvasive techniques that they hope will be as effective as the angiogram. One such method measures cerebral blood flow (CBF) in the brain because stroke patients tend to have lower CBF levels than normal. Assume that in the general population, CBF is normally distributed with mean =751 mL / 100 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 40mL / 100 g brain tissue.
What proportion of normal patients will be mistakenly classified as being at risk for stroke?
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