Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 13.4, Problem 15P

a

Summary Introduction

Interpretation:

The mean time between failures for part of robot.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

b

Summary Introduction

Interpretation:

Probability that subassembly does not fail 8 years of operation.

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

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A subassembly in an industrial robot consists of 12 components in series, each of which fails completely at random at a rate of once every 50 years.a. What is the mean time between failures for this part of the robot?b. What is the probability that this subassembly does not fail within eight years of operation?
A local military base maintains a variety of different equipment. One of these is a sensitive radardevice that signals incursion of enemy planes into American airspace. Breakdowns of the device occur completely at random at an average rate of three per year. The equipment is generally repaired the same day that it fails. Determine the following:b. The probability that there are exactly five breakdowns in any given year.
The mean repair time of a reproduction machine every time it becomes defective is 5 hours, and is assumed to be available 95% of the time. What is its mean time between failure (MTBF)?
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