The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter.
a) What is the probability that a sample's strength is less than 6250 Kg/cm2?
b) What is the probability that a sample's strength is between 5800 and 5900 Kg/cm2?
c) What strength is exceeded by 95% of the samples?