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The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hours and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule. Empirical Rule for a Normal Distribution In a normal distribution, approximately • 68% of the data lie within 1 standard deviation of the mean. • 95% of the data lie within 2 standard deviations of the mean. - 99.7% of the data lie within 3 standard deviations of the mean. A normal distribution 0.15 2.35% 13,5% 34% 13.5% 2.35% 34% H-30 r0.15 H- 20 H +20 u+3o L 68% of the data 95% of the data 99.7% of the data

The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hours and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule. Empirical Rule for a Normal Distribution In a normal distribution, approximately • 68% of the data lie within 1 standard deviation of the mean. • 95% of the data lie within 2 standard deviations of the mean. - 99.7% of the data lie within 3 standard deviations of the mean. A normal distribution 0.15 2.35% 13,5% 34% 13.5% 2.35% 34% H-30 r0.15 H- 20 H +20 u+3o L 68% of the data 95% of the data 99.7% of the data

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hours and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule. Empirical Rule for a Normal Distribution In a normal distribution, approximately - 68% of the data lie within 1 standard deviation of the mean. • 95% of the data lie within 2 standard deviations of the mean. - 99.7% of the data lie within 3 standard deviations of the mean. A normal distribution 0.15 2.35% 13.5% 34% 34% 13.5% 2.35% O.15 H- 30 u - 20 H +20 u +30 68% of the data 95% of the data 99.7% of the data
Transcribed Image Text:The life expectancy of a fluorescent tube is normally distributed with a mean of 6,050 hours and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 6,850 hours. Use the Empirical Rule. Empirical Rule for a Normal Distribution In a normal distribution, approximately - 68% of the data lie within 1 standard deviation of the mean. • 95% of the data lie within 2 standard deviations of the mean. - 99.7% of the data lie within 3 standard deviations of the mean. A normal distribution 0.15 2.35% 13.5% 34% 34% 13.5% 2.35% O.15 H- 30 u - 20 H +20 u +30 68% of the data 95% of the data 99.7% of the data
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