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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 Which machine is more likely to produce an acceptable cork? the first machine the second machine

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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