A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. The mean life of this type of component is 110 hours and its standard deviation is 28.5 hours. You plan on stocking a random sample of these components, and on calculating the probability that the average life of the
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. The mean life of this type of component is 110 hours and its standard deviation is 28.5 hours. You plan on stocking a random sample of these components, and on calculating the probability that the average life of the
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![**Component Reliability Analysis**
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. The mean life of this type of component is 110 hours, and its standard deviation is 28.5 hours. You plan on stocking a random sample of these components, and on calculating the probability that the average life of the components is greater than 102.49 hours.
**Task:**
Determine the minimum sample size needed so that the above probability is at least 0.95. Round up if needed.
**Solution:**
The sample must have at least [blank] components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbea774a4-76a7-4661-8ed1-83b80bb8adb6%2F24d960cb-346d-40a8-aa93-0b958add1192%2F88i8my_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Component Reliability Analysis**
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. The mean life of this type of component is 110 hours, and its standard deviation is 28.5 hours. You plan on stocking a random sample of these components, and on calculating the probability that the average life of the components is greater than 102.49 hours.
**Task:**
Determine the minimum sample size needed so that the above probability is at least 0.95. Round up if needed.
**Solution:**
The sample must have at least [blank] components.
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