An experiment needs a 1.41cm thick aluminum cylinder. Suppose that the thickness of a cylinder has a normal distribution with a mean of 1.41 cm and a standard deviation of 0.01 cm. (a) What is the probability that a thickness is greater than 1.42 cm? (b) What thickness is exceeded by 95% of the samples? (c) If the specifications require that the thickness is between 1.39 cm and 1.43 cm, what proportion of the samples meets specifications?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question # 7 (8:40-8:50)
An experiment needs a 1.41cm thick aluminum cylinder.
Suppose that the thickness of a cylinder has a normal
distribution with a mean of 1.41 cm and a standard deviation of
0.01 cm.
(a) What is the probability that a thickness is greater than 1.42
cm?
(b) What thickness is exceeded by 95% of the samples?
(c) If the specifications require that the thickness is between
1.39 cm and 1.43 cm, what proportion of the samples meets
specifications?
Transcribed Image Text:Question # 7 (8:40-8:50) An experiment needs a 1.41cm thick aluminum cylinder. Suppose that the thickness of a cylinder has a normal distribution with a mean of 1.41 cm and a standard deviation of 0.01 cm. (a) What is the probability that a thickness is greater than 1.42 cm? (b) What thickness is exceeded by 95% of the samples? (c) If the specifications require that the thickness is between 1.39 cm and 1.43 cm, what proportion of the samples meets specifications?
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