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?

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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?

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