Between the lower specificication limit and the target

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An industrial sewing machines uses all bearing that aretargeted to have a diameter of 0.75 inch. The lower and upperspecification limits under which the ball bearing can be operatedaare 0.74 inch and 0.76 inch. respectively. Past experienceindicated that the actual diameter of the bearing is approximatelynormally distributed with a mean of 0.73 inch and a standarddeviation of 0.004 inch. What is probability that a ball bearingis

a. between the target and the actual mean?
b. between the lower specificication limit and thetarget?
c. above the upper specification limit.
d. below the lower specification limit
e. 93% of the diameters are greater than what value?

The fill amount of soft drink bottles is normally distributedwoth a mean of 2.02 liters and a standard deviation of 0.05liters. Bottles that contain less than 95% of the listed netcontent (1.90 liters in this case) can make the manufacturingsubject to penalty by the state office of consumers affairs.Bottles that have a net content above 2.10% liters may excessspillage upon opening. What proportion of the bottles willcontain.

a. between 1.90 and 2.0 liters.
b. between 1.90 and 2.10 liters
c. below 1.90 liters or above 2.10 liters
d. 99 % of the bottles contain at least how much softdrinks?
e. 99% of the bottles contain an amount that is betweenwhich two values (symmetrically distributed) around the mean.

Reference no: EM13338055

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