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Sixteen owners of 2005 Chrysler Pacifica 2WD vehicles kept track of their average fuel economy for a month. The results are shown below
In a survey of 400 likely voters, 215 responded that they would vote for the incumbent and 185 responded that they would vote for the challenger
Suppose that a particular light bulb is advertised as having an average lifetime of 2,000 hours and is known to satisfy an exponential failure law.
Of the original 130 sold in 2003, how many machines would one expect would not experience a breakdown before January 2007?
What is the probability that any particular cab will run for a full year without suffering a breakdown?
A collection of 30 Christmas tree lights are arranged in a pure series circuit; that is, if one of the lights burns out, then the entire string goes out.
Explain the limitations of calculating the size of the nonprofit sector using IRS data, and explain how fundraisers can obtain a more accurate estimate.
How often should the capacitors be replaced in order to minimize the expected monthly cost of planned and unplanned replacement?
Tires that fail in service result in significantly higher replacement costs than those replaced before failure.
Failures during operation cost $200 each, but the tube can be replaced before failure for $50. Find the optimal replacement strategy.
A local newsletter is printed on a printer with a cartridge that may break or run out of ink during operation.
Mactronics produces industrial robots. Each robot contains a part with a lifetime of five years at most, and at least one year.
A producer of pocket calculators estimates that the calculators fail at a rate of one every five years.
Zemansky’s sells tires with a pro rata warranty. The tires are warranted to deliver 50,000 miles with the rebate based on the remaining tread on the tire.
Habard’s, a chain of hardware stores, sells a variety of tools and home repair items. One of their best wrenches sells for $5.50.
Six thousand light bulbs light a large hotel and casino marquee. Each bulb fails completely at random, and each has an average lifetime of 3,280 hours.
A sample of high-capacity resistors is tested until failure and the results fitted to a Weibull probability model.
Determine the value of t such that the likelihood that an engine fails before t is the same as the likelihood that an engine fails after t.
The transducer fails according to an exponential distribution with rate one failure every five years on average.
Automobiles arrive at a tollbooth on a highway completely at random according to a Poisson process with rate ? = 4 cars per hour.
The light has an average lifetime of 1,250 hours and fails completely at random. Lights that burn out are replaced instantly.
An electronic module used by the Navy in a sonar device requires replacement on the average once every 16 months and fails according to a Poisson process.
A subassembly in an industrial robot consists of 12 components in series, each of which fails completely at random at a rate of once every 50 years.
Compare the reliability of these three systems assuming an exponential failure law.
A design engineer is considering the number of levels of redundancy to build into a particular circuit.