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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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