The compressive strength of samples of cement can be modeled by a normal distribution with a mean, u, of 6000 kg/cm² and a standard deviation, a, of 100 kg/cm². (a) What is the probability that a sample's strength is less than 6250 kg/cm²? Ans. 0.9938. (b) What is the probability that a sample's strength is between 5800 and 5900 kg/cm²? Ans. 0.1359 (c) What strength is exceeded by 95% of the samples? Ans. 5836.5
The compressive strength of samples of cement can be modeled by a normal distribution with a mean, u, of 6000 kg/cm² and a standard deviation, a, of 100 kg/cm². (a) What is the probability that a sample's strength is less than 6250 kg/cm²? Ans. 0.9938. (b) What is the probability that a sample's strength is between 5800 and 5900 kg/cm²? Ans. 0.1359 (c) What strength is exceeded by 95% of the samples? Ans. 5836.5
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The compressive strength of samples of cement
can be modeled by a normal distribution with a mean, u, of 6000 kg/cm² and a
standard deviation, a, of 100 kg/cm².
(a) What is the probability that a sample's strength is less than 6250 kg/cm²?
Ans. 0.9938.
(b) What is the probability that a sample's strength is between 5800 and 5900 kg/cm²?
Ans. 0.1359
(c) What strength is exceeded by 95% of the samples?
Ans. 5836.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F359448b0-b0b4-439a-8b35-490d5a03cebe%2F51e018eb-dbc0-49f7-82d0-805e67ec2639%2F9twhzos_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The compressive strength of samples of cement
can be modeled by a normal distribution with a mean, u, of 6000 kg/cm² and a
standard deviation, a, of 100 kg/cm².
(a) What is the probability that a sample's strength is less than 6250 kg/cm²?
Ans. 0.9938.
(b) What is the probability that a sample's strength is between 5800 and 5900 kg/cm²?
Ans. 0.1359
(c) What strength is exceeded by 95% of the samples?
Ans. 5836.5
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