The Write Right Company manufactures ballpoint pens and has been experiencing a 5% rate of defective pens. Modifications are made to the manufacturing process in an attempt to improve quality, and the manager claims that the modified procedure is better, because a test of 50 pens shows that only one is defective. a) Assuming that the 5% rate of defects has not changed, find the probability that among 50 pens, exactly one is defective. b) Assuming that the 5% rate of defects has not changed, find the probability that among 50 pens, none are defective. c) What probability value should be used for determining whether the modified process results in a defect rate that is less than 5%?
The Write Right Company manufactures ballpoint pens and has been experiencing a 5% rate of defective pens. Modifications are made to the manufacturing process in an attempt to improve quality, and the manager claims that the modified procedure is better, because a test of 50 pens shows that only one is defective. a) Assuming that the 5% rate of defects has not changed, find the probability that among 50 pens, exactly one is defective. b) Assuming that the 5% rate of defects has not changed, find the probability that among 50 pens, none are defective. c) What probability value should be used for determining whether the modified process results in a defect rate that is less than 5%?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The Write Right Company manufactures ballpoint pens and has
been experiencing a 5% rate of defective pens. Modifications are
made to the manufacturing process in an attempt to improve
quality, and the manager claims that the modified procedure is
better, because a test of 50 pens shows that only one is defective.
a) Assuming that the 5% rate of defects has not changed, find the
probability that among 50 pens, exactly one is defective.
b) Assuming that the 5% rate of defects has not changed, find the
probability that among 50 pens, none are defective.
c) What probability value should be used for determining
whether the modified process results in a defect rate that is less
than 5%?
d) What do you conclude about the effectiveness of the modified
production process?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbedbf83f-ce59-477f-bdc2-47d59968745d%2F49ab0cab-c80c-4388-a32d-1712c4189660%2Fq2cjbpf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Write Right Company manufactures ballpoint pens and has
been experiencing a 5% rate of defective pens. Modifications are
made to the manufacturing process in an attempt to improve
quality, and the manager claims that the modified procedure is
better, because a test of 50 pens shows that only one is defective.
a) Assuming that the 5% rate of defects has not changed, find the
probability that among 50 pens, exactly one is defective.
b) Assuming that the 5% rate of defects has not changed, find the
probability that among 50 pens, none are defective.
c) What probability value should be used for determining
whether the modified process results in a defect rate that is less
than 5%?
d) What do you conclude about the effectiveness of the modified
production process?
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