3. In pharmacologic research a variety of clinical chemistry measurements are ro

Question

3. In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medication under study. One measure that may be of interest is blood-glucose level. From experience, it is assumed that the probability a person in the US will have an abnormally high level is .0089. (An abnormal level is above 180 mg/dL.) Suppose in a pharmacologic study involving 5000 patients taking a particular medication, 60 are found to have abnormally high blood- glucose levels. When showing work, the probability of interest must be included. a. What is the probability of finding 60 out of 5000 people with abnormally high blood-glucose levels?

Explanation / Answer

here mean number of people out of 5000 having abnormally high blood glucose levels

=np=5000*0.0089=44.5

and std deviation =(np(1-p))1/2 =6.6411

therefore probability of finding 60 out of 5000 having abnormally high blood glucose levels

=P(X=60) =P(59.5<X<60.5) =P((59.5-44.5)/6.6411<Z<(60.5-44.5)/6.6411)

=P(2.2587<Z<2.4092)=0.9920-0.9880 =0.0040

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