Operations Research ASSIGNMENT NO. 10 (Reliability Analysis) 1. The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on the average, a transformer fails once every 10 years, what is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months? 2. One thousand new OCRS are put in service. They have a constant failure rate Of 0.05 per year. a) How many units of the original 1000 will still be in service after 5 years? b) How many of the original will fail in Year 5?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Assignment No. 10

Answer 1, 2a and 2b

Operations Research
ASSIGNMENT NO. 10 (Reliability Analysis)
1. The failure of power transformers is assumed to follow a
Poisson probability distribution. Suppose on the average, a
transformer fails once every 10 years, what is the probability
that it will not fail in the next 12 months? That it will fail
once in the next 24 months?
2. One thousand new OCRS are put in service. They have a
constant failure rate Of 0.05 per year.
a) How many units of the original 1000 will still be in service
after 5 years?
b) How many of the original will fail in Year 5?
Transcribed Image Text:Operations Research ASSIGNMENT NO. 10 (Reliability Analysis) 1. The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on the average, a transformer fails once every 10 years, what is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months? 2. One thousand new OCRS are put in service. They have a constant failure rate Of 0.05 per year. a) How many units of the original 1000 will still be in service after 5 years? b) How many of the original will fail in Year 5?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman