A machine produces vitamin C tablets, the diameters of which are normally distributed
with mean 10mm and standard deviation 0.1mm. A tablet is acceptable if its diameter
lies between 9.81mm and 10.19mm. To pass a quality test, at least 90% of the tablets in
a pack should be acceptable.
(a) Determine the probability that a tablet is acceptable.
(b) What is the probability that a pack of 20 tablets will pass the quality test? Use
binomial probability distribution.
(c) What is the probability that a pack of 200 tablets will pass the quality test?
(d) If you have a choice of submitting a pack of 20 tablets or a pack of 200 tablets for
the quality test, which one would you prefer and why?