A manufacturing company recieves a shipment of ball bearings eah month from a supplier. The inspector applies the following rule in deciding whether or not to accept or reject each shipment: If the mean diameter of the sample is between 0.245 and 0.255 the shipment is accepted otherwise the shipment is rejeted. A random sample of 36 bearings is selected and measured. A.)What is the probability of accepting the shipment that has a mean diameter of 0.240 inches and a standard deviation of 0.015 inches? B.) What is the probability of accepting a shipment that has a mean diameter of 0.2515 inches and a standard deviation of 0.005 inches?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A manufacturing company recieves a shipment of ball bearings eah month from a supplier. The inspector applies the following rule in deciding whether or not to accept or reject each shipment: If the mean diameter of the sample is between 0.245 and 0.255 the shipment is accepted otherwise the shipment is rejeted. A random sample of 36 bearings is selected and measured.

A.)What is the probability of accepting the shipment that has a mean diameter of 0.240 inches and a standard deviation of 0.015 inches?

B.) What is the probability of accepting a shipment that has a mean diameter of 0.2515 inches and a standard deviation of 0.005 inches?

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