1,000 light bulbs with a mean life of 120 days are installed in a new factory. Their length of life is normally distributed with standard deviation 20 days. (1) How many bulbs will expire in less than 90 days? (ii) If it is decided to replace all the bulbs together, what intervals should be allowed between replacements if not more than 10 per cent should expire before replacement ?

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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1,000 light bulbs with a mean life of 120 days are installed in a new
factory. Their length of life is normally distributed with standard
deviation 20 days. (1) How many bulbs will expire in less than 90
days? (ii) If it is decided to replace all the bulbs together, what
intervals should be allowed between replacements if not more than
10 per cent should expire before replacement ?
Transcribed Image Text:1,000 light bulbs with a mean life of 120 days are installed in a new factory. Their length of life is normally distributed with standard deviation 20 days. (1) How many bulbs will expire in less than 90 days? (ii) If it is decided to replace all the bulbs together, what intervals should be allowed between replacements if not more than 10 per cent should expire before replacement ?
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