Problem 3.1: Reliability. Suppose that I have the following three-step system, with the listed reliabilities: Step...

Problem 3.1: Reliability. Suppose that I have the following three-step system, with the listed reliabilities:

Step 1: .60 Step 2: .90 Step 3: .80

1a) I have to run the system two times in a row, and all steps must work both times. What is its reliability?

1b) Suppose that I have the following two upgrades in mind:

Option A: The system will still work as long as it is reliable at least one of the two times.

Option B: The system must still work both times, but I’ve added a backup to Step 3 that also has reliability of 0.8.

Assume that cost is not a factor: which gives me better reliability?

Expert Solution

1.a) The reliability in this case is found out as 0.187

1.b) Option A : The reliability in this case is found out as 0.677

Option B : The reliability in this case is found out as 0.269

So option a gives more reliability.

All the steps and calculations for the above solutions are given below :

" You can give feedback through the comment option. if you liked the answer please give an Up-Vote. it will be quite encouraging for me. Thank you."

keosha answered 4 months ago

Question An industrial system consisting of three (3) sub units with reliability data listed below in...

Question An industrial system consisting of three (3) sub units with reliability data listed below in terms of exponential failure rates and MTTR times for a mission time of one week. The system operates 9 hours per day with one day per week for down time. The system data are: Λ 1 = 0.00020 failure per hour Λ 2 = 0.00012 failure per hour, Λ 3 = 0.00040 failure per hour, MTTR1 = 1.00 hour, MTTR2 = 1.25 hour, MTTR3...

A home security system is designed to have a 99% reliability rate. Suppose that nine home...

A home security system is designed to have a 99% reliability rate. Suppose that nine home equipped with this system experience an attempted burglary. Find the probability that at least two of the alarms are triggered. Group of answer choices A) 1- (.019 ) - 9* (.018 )* (.99) B) 1- (.999 ) - 9* (.998 )* (.01) C) 1- (.999 ) D) 1- (.019 )

A home security system is designed to have a 99% reliability rate. Suppose that eleven homes...

A home security system is designed to have a 99% reliability rate. Suppose that eleven homes equipped with this system experience an attempted burglary. Find the probabilities of these events. (Round your answers to three decimal places.) (a) at least one of the alarms is triggered (b) more than nine of the alarms are triggered (c) ten or fewer alarms are triggered

I need a step by step explanation to the following problem in order to make me...

I need a step by step explanation to the following problem in order to make me understand the solution: 14-23 Flexible Budgets and Operating-Income Variance Analysis: Spreadsheet Application The following information is available for Brownstone Products Company for the month of July: Actual Master Budget Units 3,800 4,000 Sales Revenue 53,200 60,000 Variable manufacturing costs 19,000 16,000 Fixed manufacturing costs 16,000 15,000 Variable selling and administrative expenses 7,700 8,000 Fixed selling...

If anyone can give a detailed, step by step analysis of the following problem I need...

If anyone can give a detailed, step by step analysis of the following problem I need to be able to do a problem LIKE this for a test Dec. 5, 2019. Thanks! Example Problem – 40 points. Use the printout to answer the following questions. 1. Suppose we want to develop a model to predict assessed value based on heating area. A sample of 15 single-family houses is selected in a particular community. The assessed value (in thousands of $...

Note: I need a step by step answer to the following problem to better understand how...

Note: I need a step by step answer to the following problem to better understand how this works. Hot Coffee Manufacturing produces and sells oak tables. The budgeted manufacturing costs per table are as follows: Direct costs Oak top 48 square feet at $10 per sq. ft. Table legs 4 legs at $5 per leg Direct labor is 3 hours and 24 minutes per table at $15 per hour. The variable overhead rate is $6 per...

I need a step by step answer to the following accounting problem. ACC 512 Multiproduct CVP...

I need a step by step answer to the following accounting problem. ACC 512 Multiproduct CVP Analysis with income taxes Case Jan Green is preparing a business plan to present to her local bank. She provides with the following selected information from her business Hightway 37 Stores: Products A B C D Selling price per unit $20.00 $50.00 $28.00 $10.00 Units sold 1,000 500 1,500 2,000 Variable cost per unit $10.00 $25.00 $14.00 $5.00 Total fixed costs $1,605.00 Combined federal...

Utilising the following assumed reliabilities: Smoke detection system 95% Automatic sprinkler system 95% Smoke exhaust system...

Utilising the following assumed reliabilities: Smoke detection system 95% Automatic sprinkler system 95% Smoke exhaust system 85% Fire alarm system 98% 1. Calculate the system probability that at least three of the four fire systems operate, provide enough significant digits especially when the answer is very close to zero or one.

May I have the answers for the following questions step by step please. Annual sales, in...

May I have the answers for the following questions step by step please. Annual sales, in millions of euros, for 21 pharmaceutical companies follow. 8408 1374 1872 8879 2459 11413 608 14138 6452 1850 2818 1356 10498 7478 4019 4341 739 2127 3653 5794 8305 Provide a five-number summary. Compute the lower and upper limits for the box plot. Suppose that IQ scores have a bell-shaped distribution with a mean of 100 and...

Hi I have an exercise and I want to you to solve it step by step,...

Hi I have an exercise and I want to you to solve it step by step, please.. I found the solution here but it did not have steps .. *Answer the following questions using the information below: Tiger Pride produces two product lines: T-shirts and Sweatshirts. Product profitability is analyzed as follows: T-SHIRTS SWEATSHIRTS Production and sales volume 60,000 units 35,000 units Selling price $16.00 $29.00 Direct material $ 2.00 $ 5.00 Direct labor $ 4.50 $ 7.20 Manufacturing overhead...

Question