The compressive strength of samples of cement can be modeled by a normal distribution with a Blackboard 200 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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The compressive strength of samples of cement can be modeled by a normal distribution with a
Blackboard 200 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?
Transcribed Image Text:The compressive strength of samples of cement can be modeled by a normal distribution with a Blackboard 200 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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