The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that a laser fails before 5000 What is the life in hours that 95% of the lasers exceed? hours? What is the probability that a laser fails after 8500 hours? What life in hours does 75% of the lasers exceed?

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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The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard
deviation of 600 hours.
What is the probability that a laser fails before 5000 What is the life in hours that 95% of the lasers exceed?
hours?
What is the probability that a laser fails after 8500 hours? What life in hours does 75% of the lasers exceed?
Transcribed Image Text:The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that a laser fails before 5000 What is the life in hours that 95% of the lasers exceed? hours? What is the probability that a laser fails after 8500 hours? What life in hours does 75% of the lasers exceed?
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Please answer P(Z < - 1.12) and What life in hours does 75% of the lasers exceed.  thank you!

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard
deviation of 600 hours.
What is the probability that a laser fails before 5000 What is the life in hours that 95% of the lasers exceed?
hours?
What is the probability that a laser fails after 8500 hours? What life in hours does 75% of the lasers exceed?
Transcribed Image Text:The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that a laser fails before 5000 What is the life in hours that 95% of the lasers exceed? hours? What is the probability that a laser fails after 8500 hours? What life in hours does 75% of the lasers exceed?
Sketch the area being described and evaluate the probabilities for the Standard Normal Distribution
P(Z < 2.15)
P(Z < -1.12)
P(Z > 1.15)
P(0.15 <Z < 1.98)
P(Z > -0.34)
P(-0.25 <Z < -0.10)
Transcribed Image Text:Sketch the area being described and evaluate the probabilities for the Standard Normal Distribution P(Z < 2.15) P(Z < -1.12) P(Z > 1.15) P(0.15 <Z < 1.98) P(Z > -0.34) P(-0.25 <Z < -0.10)
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