There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. USE SALT What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.) 0.6827 What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.) 0.9930 Which machine is more likely to produce an acceptable cork? the first machine the second machine

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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There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters
that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with
diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have
diameters between 2.9 cm and 3.1 cm.
USE SALT
What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
0.6827
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
0.9930
X
Which machine is more likely to produce an acceptable cork?
the first machine
the second machine
Transcribed Image Text:There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. USE SALT What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.) 0.6827 What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.) 0.9930 X Which machine is more likely to produce an acceptable cork? the first machine the second machine
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