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Probability: Length of Machine Produced Metal Strips

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Length of metal strips produced by a machine are normally distributed with mean length of 150 cm and a standard deviation of 10 cm. Find the probability that the length of a randomly selected strip is:

(a) Shorter than 165 cm.
(b) Longer than 170 cm.
(c) Between 145 cm and 155 cm.

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Solution Summary

The solution describes the steps to calculate the probability in the given cases.

Solution Preview

1. Shorter than 165 cm
Given population mean = = 150 cm
Population standard deviation = =10 ...

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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