Assume that the BP rig in the Gulf of Mexico has four major safety devices all connected in a series. The corresponding reliabilities of these four devices are: Device 1:0.85Device 2:0.95Device 3:0.80Device 4:0.80 Device 2 has a single backup system with identical reliability. Device 3 has a single backup system that has two subcomponents (each with a reliability of .50) that are connected in a series. Device 4 is backed up by two backup systems (each with reliability of .75). What is the likelihood that these safety devices (working together) will prevent another disaster? Please show all calculations.

Given devices with reliabilities. Devices Reliability Device 10.85Device 20.95Device 30.80Device…

Answered: What is the likelihood that these…

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What is the likelihood that these safety devices (working together) will prevent another disaster?

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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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

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Assume that the BP rig in the Gulf of Mexico has four major safety devices all connected in a series. The corresponding reliabilities of these four devices are:

Device 1:	0.85
Device 2:	0.95
Device 3:	0.80
Device 4:	0.80

Device 2 has a single backup system with identical reliability.

Device 3 has a single backup system that has two subcomponents (each with a reliability of .50) that are connected in a series.

Device 4 is backed up by two backup systems (each with reliability of .75).

What is the likelihood that these safety devices (working together) will prevent another disaster?

Please show all calculations.

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