Take your medicine: Medication used to treat a certain condition is administered by syringe. The target dose in a particular application is 10 milligrams. Because of the variations in the syringe, in reading the scale, and in mixing the fluid suspension. the actual dose administered is normally distributed with mean p = 10 milligrams and standard deviation a = 1.6 milligrams.
a. What is the probability that the dose administered is between 9 and 11.5 milligrams?
b. Find the 98th percentile of the administered dose.
c. If a clinical overdose is defined as a dose larger than 15 milligrams, what is the probability that a patient will receive an overdose?