A subassembly in an industrial robot consists of 12 components in series, each ofwhich fails completely at random at a rate of once every 50 years.b. What is the probability that this subassembly does not fail within eight years ofoperation?
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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.
b. What is the probability that this subassembly does not fail within eight years of
operation?
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- 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.a. What is the mean time between failures for this part of the robot?b. What is the probability that this subassembly does not fail within eight years of operation?An electronic chess has a useful life that is exponential with a mean of 30 months. Determine each of the following: a) The probability that any given unit will operate at least 45 months b) The probability that any given unit will fail sooner than 30 monthsA system consists of three identical components. In order for the system to perform as intended, all of the components must perform. Each has the same probability of performance. If the system is to have a .92 probability of performing, what is the minimum probability of performing needed byeach of the individual components?
- A subassembly in an industrial robot consists of 12 components in series, each ofwhich fails completely at random at a rate of once every 50 years.a. What is the mean time between failures for this part of the robot?A local military base maintains a variety of different equipment. One of these is a sensitive radardevice that signals incursion of enemy planes into American airspace. Breakdowns of the device occur completely at random at an average rate of three per year. The equipment is generally repaired the same day that it fails. Determine the following:b. The probability that there are exactly five breakdowns in any given year.A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.a. What is the probability that any particular cab will run for a full year withoutsuffering a breakdown?
- 43. 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. Assuming that the marquee stays lit continuously and bulbs that burn out are replaced immediately, how many replacements must be made each year on the average? 14A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?A product engineer has developed the following equation for the cost of a system component: C = (10P) 2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate forthe system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?
- A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?e. For what reason might your answer in part (d) be too low?A product engineer has developed the following equation for the cost of a system component: C = (10P)2, where is the cost in dollars and Pis the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate for the system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?A product engineer has developed the following equation for the cost of a system component: C = (10P)2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of 3 identical components, all of which must operate for the system to operate. The engineer can spend $254 for the 3 components. What is the largest component probability that can be achieved? (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) Probability 0.8466