A system consists of 3 components in parallelwith reliabilities designated asR1, R2 and R3• The system requires at least 1component to work for systemsuccess. Find an expression for systemreliability using (a) conditionalprobability, (b) minimal cuts sets, (c) minimaltie sets, and (d) event treemethods.A system consists of 3 components in parallelwith reliabilities designated asR1, R2 and R3• The system requires at least 1component to work for systemsuccess. Find an expression for systemreliability using (a) conditionalprobability, (b) minimal cuts sets, (c) minimaltie sets, and (d) event treemethods.

Name: A system consists of 3 components in parallelwith reliabilities desig
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A system consists of 3 components in parallelwith reliabilities designated asR1, R2 and R3• The system requires at least 1component to work for systemsuccess. Find an expression for systemreliability using (a) conditionalprobability, (b) minimal cut

A test is like a measuring instrument. One of the important charcteristics of any instrument device…

Math

Probability

A system consists of 3 components in parallel with reliabilities designated as R1, R2 and R3• The system requires at least 1 component to work for system success. Find an expression for system reliability using (a) conditional probability, (b) minimal cuts sets, (c) minimal tie sets, and (d) event tree methods. Cuctom concictc compononts in parallol

A system consists of 3 components in parallel with reliabilities designated as R1, R2 and R3• The system requires at least 1 component to work for system success. Find an expression for system reliability using (a) conditional probability, (b) minimal cuts sets, (c) minimal tie sets, and (d) event tree methods. Cuctom concictc compononts in parallol

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...

See similar textbooks

Similar questions

If a study determines the difference in average salary of subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations if blue-eyed people and brown-eyed people are _______ different salaries. A. Unlikely to have B. Very likely to have C. guaranteed to have D. guaranteed to not have
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.
5. The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of .97, and the other has a reliability of .99. a. What is the reliability of the computer? b. A backup computer identical to the one being used will be installed to improve overall reli- ability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability. c. If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .98, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.)
A satellite system consists of 4 components and can function adequately if at least 2 of the 4 components are in working condition. If each component is, independently, in working condition with probability 0.6, what is the probability that the system functions adequately?
Suppose a system consists of four components, con-nected in parallel, having the reliabilities 0.8, 0.7, 0.7, and 0.65, respectively. Find the system reliability.
Three components are connected to form a system asshown in the accompanying diagram. Because the componentsin the 2–3 subsystem are connected in parallel, thatsubsystem will function if at least one of the two individualcomponents functions. For the entire system to function,component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition ofeach component [S (success) for a functioning componentand F (failure) for a nonfunctioning component].a. Which outcomes are contained in the event A thatexactly two out of the three components function?b. Which outcomes are contained in the event B that atleast two of the components function?c. Which outcomes are contained in the event C that thesystem functions?d. List outcomes in C9, A ø C, A ù C, B ø C, andB ù C.
If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations of blue-eyed people and brown-eyed people are ________ different salaries. unlikely to have very likely to have guaranteed to have guaranteed to not have
Consider the three grocery stores, Murphy’s Foodliner, Ashley’sSupermarket and Quick Stop Groceries. Quick Stop Groceries is smaller than eitherMurphy’s Foodliner or Ashley’s Supermarket. However, Quick Stop’s convenience withfaster service and gasoline for automobiles can be expected to attract somecustomers who currently make weekly shopping visits to either Murphy’s or Ashley’s.Assume that the transition probabilities are as follows: What is the projected market shares for the 3 convenient stores?
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: Back up Device 1: 0.85 Device 2: 0.95 0.95 Device 3: 0.80 0.5 0.5 Device 4: 0.80 0.75 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?
In the system in Figure 2.7, each component fails with probability 0.3 independently ofother components. Compute the system’s reliability.
A company which produces a particular drug has two factories, A and B. 30% of the drug are made in factory A and the rest in factory B. Of the drugs produced by factory A, 95% meet specifications. Meanwhile, of the drugs produced in factory B, only 75% of the drugs meet specifications. Suppose A = factory A, B = factory B, M = meets specifications, and NM = does not meet specifications. a) Draw a tree diagram displaying the probabilities. b) Draw the contingency table of all the “and” probabilities: c) What is the probability that a drug meets specifications? d) Given that the drug meets specifications, what is the probability it was produced in factory B?
An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 5% of the microprocessors produced by firm A are defective, 9% of those produced by firm B are defective, and 7.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 30%, and 35%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?