

1) The time to failure of a certain brand of ink jet printers is given by...
1. The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours. What is the probability that a bulb picked at random from this company’s products will have a life time of: (i) at least 300 hours, (ii) at most 100 hours, (iii) between 150 and 250 hours.
Given the following failure time data in hours: {50, 65, 78, 92, 99, 107, 120, 190, 200, 205}. Assume that the system under study follows an exponential failure distribution. The system under study has a 50 hour warranty. What is the probability that a system in the field will fail during the warranty period?
Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of weaving machines: 100 250 720 465 910 2017 1600 1300 nypothesis that the failure time follows an exponential distribution with mean 1000 (hours). Conduct the Kolmogorov-Smirnov test, at 1% level of significance, for testing the [9 marks] the context of the validation process in simulation, write short notes on the "Input- [4 marks] output Transformation". (c) Consider a queueing system with interarrival rate...
Question #1 Failure distribution function for a given motor is shown below 10 (a) Derive and sketch the failure density function (8 marks) b) Derive and sketch the and sketch the reliability function (6 marks) (c) Derive and sketch the hazard rate function (6 marks) (d) Would you recommend a burn in period for this motor, why or why not? (4 marks) (e) What is the probability a new molor will last more than 2 years? (4 marks) Determine the...
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1) (10 points) EmKay Industries operates a factory that has fixed costs of $250,000 per month. The variable cost of the product is $75 per unit and the product sells for $125 per unit. (Ignore the time value of money in your calculations). a) (4 points) Determine the number of units the factory must produce and sell per month in order to breakeven. b) (6 points) If the factory produced and sold...
27. Given the following information, what production levels are required during periods 1, 2, and 3 to maintain a finished inventory level of 250 units? Period Forecast 0 1 2 3 500 300 ? 750 Production ? Finished Inventory 150 (a) 500, 300, 750 (b) 550, 550, 550 (c) 600,300,750 250 250 250 (d) 300, 300, 300 (e) 600, 200, 700 28. A bank processed 2500 loan forms in 525 hours. The bank employee earns $18.00 per hour, and each...
(1)The field test data in respect of 172 components is as given below. In the life-testing of 100 specimens of a particular device, the number of failures during each time interval of twenty hours is shown in Table below. Estimate and Plot: the hazard function, failure density and reliability function. Time/Hours Failure 0-1000 59 1000-2000 24 2000-3000 3000-4000 4000-5000 5000-6000 29 30 17 13 (1) calculate the reliability of the system shown in the figure below 0.8 5 0.8 0.9...
Question-2 Academic Toys has developed a brand new product line—a series of Business Professor Action Figures (BPAFs) featuring likenesses of popular professors at the local business school. Management needs to decide how to market the dolls. One option is to immediately ramp up production and simultaneously launch an ad campaign in the Academic newspaper. This option would cost $1,000. Based on past experience, new action figures either take off and do well or fail miserably. Hence, the prediction is for...
1) Solve the problem. 1) The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 280(x - 10) dollars per year. By how much does the machine depreciate during the fourth year? A) A decrease of $1540 B) A decrease of $1820 C) A decrease of $8960 D) A decrease of $1680 The slope...
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Question 1 Not answered Marked out of 1.00 The speeds and colours of 1200 passenger cars passing a speed camera are recorded. Colours are recorded as being red, white or other Thirty percent are white and forty five percent are colours other then red or white. There are 397 cars which are speeding and 180 which are red and not speeding. What is the probability that a red car is speeding?...