The inside diameter of a sample of 200 pen bodies produced by one machine is estimated to be 0.502 cm and the mean standard deviation is estimated to be 0.502 cm and the mean standard deviation is about 0.005 cm; the distribution of these diameters diameters is supposed to follow a normal distribution. These parts must pass through a fully automated assembly line, but they can only be suitable for this suitable for this purpose if and only if their diameter is between 0.496 and 0.508 cm. (1) What percentage of the pen bodies should be considered defective? (2) How does this percentage change if a new machine is purchased that only accepts diameters between 0.498 and 0.510 cm?
The inside diameter of a sample of 200 pen bodies produced by one machine is estimated to be 0.502 cm and the mean standard deviation is estimated to be 0.502 cm and the mean standard deviation is about 0.005 cm; the distribution of these diameters diameters is supposed to follow a normal distribution. These parts must pass through a fully automated assembly line, but they can only be suitable for this suitable for this purpose if and only if their diameter is between 0.496 and 0.508 cm. (1) What percentage of the pen bodies should be considered defective? (2) How does this percentage change if a new machine is purchased that only accepts diameters between 0.498 and 0.510 cm?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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The inside diameter of a sample of 200 pen bodies produced by one machine is estimated to be 0.502 cm and the mean standard deviation is
estimated to be 0.502 cm and the mean standard deviation is about 0.005 cm; the distribution of these diameters
diameters is supposed to follow a normal distribution .
These parts must pass through a fully automated assembly line, but they can only be suitable for this
suitable for this purpose if and only if their diameter is between 0.496 and
0.508 cm.
(1) What percentage of the pen bodies should be considered defective?
(2) How does this percentage change if a new machine is purchased that only accepts
diameters between 0.498 and 0.510 cm?
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