In a certain manufacturing company, a safety engineer has conducted an observation for a period of one month. The results presented show that only 10% of the machinists wear clear goggles and 90% wear cotton gloves when grinding a piece of metal during a regular day. Assuming that this claim is right and that the workers still do not know that they are being observed, what is the chance that no more than 3 out of 7 workers will be wearing their clear goggles while grinding during a random check?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In a certain manufacturing company, a safety
engineer has conducted an observation for a
period of one month. The results presented
show that only 10% of the machinists wear
clear goggles and 90% wear cotton gloves
when grinding a piece of metal during a regular
day. Assuming that this claim is right and that
the workers still do not know that they are
being observed, what is the chance that no
more than 3 out of 7 workers will be wearing
their clear goggles while grinding during a
random check?
0.997
0.957
0.571
Transcribed Image Text:In a certain manufacturing company, a safety engineer has conducted an observation for a period of one month. The results presented show that only 10% of the machinists wear clear goggles and 90% wear cotton gloves when grinding a piece of metal during a regular day. Assuming that this claim is right and that the workers still do not know that they are being observed, what is the chance that no more than 3 out of 7 workers will be wearing their clear goggles while grinding during a random check? 0.997 0.957 0.571
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