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...
icon
Related questions
Question
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?
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?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON