The time between failures for an electronic component is distributed with an average of 50 hours between consecutive failures. If a component is installed as a backup "backup". What is the probability that at least one of the two components will work 60 hours or more?
a. 0.51
b. 0.09
c. 0.06
d. 0.70
The time between failures for an electronic component is distributed with an average of 50 hours...
The average time between failures of a laser machine is exponentially distributed with a mean of 40,000 hours. a) What is the expected time until 4th failure? b) What is the probability that the time to the 5th failure is greater than 80,000 hours?
In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is not equal...
The probability density function of the time to failure of an electronic component in a copier (in hours) is for . Determine the probability that a) A component lasts more than 3000 hours before failure. b) A component fails in the interval from 1000 to 2000 hours. c) A component fails before 1000 hours. d) Determine the number of hours at which 10% of all components have failed.
The time between failures of a laser in a machine, X, is exponentially distributed with a mean of 25,000 hours. In other words, 1 a= (failures/hour). 25,000 Exponential Distribution (pdf): f(x) = 1.0-\x, for x > 0. (a) What is the probability that the next failure occurs in 27,000 hours? (b) What is the expected time until the third failure? (c) What is the probability that the time until the third failure exceeds 25,000 hours?
Benny's Arcade has five video game machines. The average time between machine failures is 50 hours. Jimmy, the maintenance engineer, can repair a machine in 15 hours on average.The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution. a. Jimmy's utilization is . (Enter your response rounded to three decimal places.) b. The average number of machines out of service, that is, waiting to be repaired or being repaired is nothing machines. (Enter your response rounded...
An electronic component for a medical X-ray unit is produced with an average 5% defective. An acceptance testing procedure consists of selecting 10 components at random from the lot (without replacement) and testing them. If none of the components is nonconforming, the lot is accepted. a) What is the probability of lot acceptance? b) What is the probability of finding more than one non-conforming components in the sample? c) What is the average number of components that must be tested...
The demand for an electronic component is normally distributed with an average demand during lead time of 4500 units and a standard deviation of 150. If a service level of 95% is desired, then the company’s safety stock for this component is approximately? A) 150 units. B) 247 units. C) 336 units. D) 740 units.
The time between the arrival of electronic messages at a computer is exponentially distributed with a mean of 1,2 hours. A) What is the probability that you do not receive a message during a two hour period ? B) If you have not receive a message in the next two hours?
The time required to assemble an electronic component is normally distributed, with a mean of 12 minutes and a standard deviation of 1.5 minutes. Find the probability that a particular assembly take less than 10 minutes. a. 0.6542 b. 0.0918 c. 0.8164 d. 0.9082 e. 0.4541
In a reliability context a randomly selected electronic component will undergo an accelerated failure time test. Let X take the value 1 if the component lasts less than 50 hours and zero otherwise, and Y take the value 1 if the component lasts between 50 and 90 hours and zero otherwise. The probabilities that a randomly selected component will last less than 50 hours, between 50 and 90 hours, and more than 90 hours are 0.2, 0.5, and 0.3. Find...