'The Bell company manufactures laptop computers. A study indicates that the life span of the computers is normally distributed, with a mean of 4 years and a standard deviation of 1year: How long should the company warrant its computers if the company wishes less than 2.28% of its computers to fail during the warranty period? Select one: 4 years B 2 years 3 years D. 1 year'
Added by Stephanie R.
Step 1
28% of computers failing during the warranty period. Given Z = (X - μ) / σ, where Z is the Z-score, X is the desired probability, μ is the mean (4 years), and σ is the standard deviation (1 year). Plugging in the values, we get: Z = (X - 4) / 1 = -1.75069 Show more…
Show all steps
Your feedback will help us improve your experience
Saidah K and 87 other Probability educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
The Bell company manufactures laptop computers. A study indicates that the life spans of their computers are normally distributed, with a mean of 4.0 years and a standard deviation of 1.2 years. How long should the company warrant its computers if the company wishes less than 4% of its computers to fail during the warranty period?
Anna D.
An engineering firm produces machines with an average life of 8 years and standard deviation of 2 years. The firm wishes to introduce a warranty scheme in which it would like to replace all the dysfunctional machines under warranty with new ones. But they do not wish to do so for more than $5 \%$ of the machines they produce. If the lifespan of the machine is assumed to follow a normal distribution, how long a guarantee period should be offered?
Robin C.
Use the following information to answer the next three exercises. The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the median lifetime of these phones (in years)? a. 0.1941 b. 1.3863 c. 2.0794 d. 5.5452
Continuous Random Variables
The Exponential Distribution
Recommended Textbooks
Probability with Applications in Engineering, Science, and Technology
Probability and Statistics for Engineers and Scientists
Applied Statistics and Probability for Engineers
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD