The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. (a) If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage? (b) A machine will be purchased and connected to this power supply. This machine is functional only if the output voltage is above x Volt. To ensure that the machine is functional with 95% probability, what is the value of x?
The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. (a) If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage? (b) A machine will be purchased and connected to this power supply. This machine is functional only if the output voltage is above x Volt. To ensure that the machine is functional with 95% probability, what is the value of x?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Transcribed Image Text:The output voltage of a power supply is normally distributed with mean 5 V and standard
deviation 0.02 V.
(a) If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively,
what is the probability that a power supply selected at random will conform to the
specifications on voltage?
(b) A machine will be purchased and connected to this power supply. This machine is
functional only if the output voltage is above x Volt. To ensure that the machine is
functional with 95% probability, what is the value of x?
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