42. A large national producer of appliances has traced customer experience with a populartoaster oven. A survey of 5,000 customers who purchased the oven early in 2000 hasrevealed the following:ndityNumber ofYearBreakdowns2000188200158200263200372200454200571a. Using these data, estimate på = the probability that a toaster oven fails in its kthyear of operation, for k = 1, . . . , 6.b. What is the likelihood that a toaster oven will last at least six years without failurebased on these data?c. The discrete failure rate function has the form r; = Pr/Rp–1, where Rỵ is the prob-ability that a unit survives through period k. Determine the failure rate function forthe first five years of operation from the given data.d. Suppose that you purchased a toaster oven at the beginning of 2004 and it is stilloperating at the end of 2007. If the reliability has not changed appreciably from2000 to 2007, use the results of part (c) to obtain the probability that it will failduring the first two months of calendar year 2008.

Answered: Image /qna-images/answer/01044b65-b5b0-4321-bc72-7c35266eecb9.jpg

Answered: 42. A large national producer of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

See similar textbooks

Similar questions

At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.
The mean life of a certain ball bearing can be modeled using a normal distribution with amean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.
You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposed
Q) The FDA is responsible for meat and poultry, but if a food product has less than 3% of meat, then the USDA is responsible for it. Select one: True False solve it early with explanation
.A 45 kW rated solar power system has its power output and the Solar irradiance on the PV system measured during daylight hours over a day. Based on the following data, create a scatter plot of the power output of the PV system vs the solar irradiance and comment on the relationship between the two. Based on the data, can you tell which season this day was in? Solar Irradiance on the PV system (kW/m²) 0 0.079 0.333 0.571 0.751 0.86 0.914 0.93 0.904 0.803 0.606 0.345 0.054 Power output from the PV system (kW) 0 3.098 12.438 20.124 25.703 28.498 29.587 29.69 28.798 26.264 20.434 12.223 2
The number of yearly breakdowns for the power generator observed over the past 20 years at Orlando Utilities is presented in the following data: Number of breakdowns Number of years in which breakdowns occurred For Orlando Utilities, the expected number of breakdowns (round your response to two decimal places). 0 2 = 1 3 2 5 3 5 4 3 5 1 6 1 D
A production process contains a machine that deteriorates rapidly in both quality and output under heavy usage, so that it is inspected at the end of each day. Immediately after inspection, the condition of the machine is noted and classified into one of the four possible states: State Condition Good as new Operable-minimum deterioration Operable-major deterioration Inoperable 2 3 The process can be modeled as a Markov Chain with its (one-step) transition matrix P given by 1 7 1 - 16 8 16 3 1 1 P = 8. 4 8. 1 1 2 a. Determine the expected life of a new machine if it is replaced when it is "Inoperable". b. Determine the expected life of a new machine if it is replaced when it is either "Operable-major deterioration" or "Inoperable". c. According to the replacement rule in b., what is the percentage of machines that are replaced when they are inoperable?
The time to deliver packaged containers by a logistics company is found fromsamples of size 4. The mean and standard deviation of delivery times is estimated tobe 140 hours and 6 hours, respectively.(a) Find the 2 sigma and 3 sigma control limits for the average delivery time.(b) Explain a type I and type II error specifically in this context.(c) If the mean delivery time shifts to 145 hours, what is the probability of notdetecting this by the second sample after the shift?(d) What is the ARL? Explain
Example 13.4 A local manufacturer of copying equipment includes a repair warranty with each copier. Virtu- ally all of his equipment exhibit an increasing failure rate. Based on historical repair data, the failure rate for Model 25cc7 is accurately described by the function r(t) = 2.7786t'3, where t is measured in months of continuous operation. What is the probability that the time between two successive failures of this equipment exceeds two months of operation?
7. A piece of equipment has a lifetime T (measured in years) that is a continuous ran- dom variable with cumulative distribution function F(t) = 1 – e/10 – (1/10) e¯/10 for all t> 0. a. What is the probability density function of T? b. What is the probability that a piece of equipment survives more than 20 years? c. What is the probability that a piece of equipment survives more than 10 years but fewer than 20 years? d. What is the probability that a piece of equipment survives more than 20 years given that it has survived for 10 years? 8. For the equipment mentioned in Problem 7, a. Derive the failure rate function r(1), and draw a graph of the function. b. Without using the failure rate function, determine the probability that a piece of equipment that has survived 20 years of operation fails in the 21st year. c. Does r(20) accurately estimate your answer to part (b)? Why or why not?
A certain reagent is created to test for an infectious disease. The test has anaccuracy rate of p = 90%, and the accuracy does not depend on whether or not thepatient is actually infected. a. If four people are tested for the disease, what is the probability that at leastthree of them receive accurate test results? b. In an area where q = 5% of people are infected, a man’s test result ispositive. What is probability that it is a false positive (which means that he is notinfected but the test is positive due to inaccuracy)? *please solve for a-b, type or neatly write your answers on paper, NO EXCEL* thank you !
Suppose you sample one value from a uniform distribution with a = 0 and b=20. a. What is the probability that the value will be between 12 and 172 b. What is the probability that the value will be between 4 and 72 c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 12 and 17 is (Type an integer or a decimal)

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS