The time between failures of a laser is known to have
the exponential distribution with the mean of 500 hours
a) What is the probability there are no failures in 1000
hours
b) What is the expected time until the 3rd failure?
The time between failures of a laser is known to have the exponential distribution with the...
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?
sorry it is blurry
The time between failures of a laser in a machine, X, is exponentially distributed with a mean of 25,000 hours. In other words, X= (failures/hour). 25,000 Exponential Distribution (pdf): f(x) = 1.e-r, for 2 > 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?
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?
Question 7 The mean time between failures (often called MTBF) of the battery of a particular brand of computers is 450 hours. Assume that the time between failures is governed by an exponential distribution. What is the probability that the battery will fail (a) within 300 hours? (b) will last at least 500 hours? (c) will fail between 300 to 600 hours?
QUESTION 3 Mean time between failures (MTBF) is the predicted elapsed time between inherent failures of a mechanical or electronic system, during normal system operation. One of the big problems of asset failure is the random failure which is difficult to predict. Discuss the potential failure (P-F) curve and the Weibull distribution. Give graphic example of the P-F curves and explain each of the probability density function terms. [10] QUESTION 4 To formulate a maintenance strategy three key points must...
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 11 seconds. (a) Sketch this exponential probability distribution. (b) What is the probability that the arrival time between vehicles is 11 seconds or less? (c) What is the probability that the arrival time between vehicles is 7 seconds or less? (d) What is the probability of 33 or more seconds between vehicle arrivals?
. Suppose the time until failure (in years) of a laptop computer follows an exponential distribution with a mean life of 6 years. a) What is the median life of a laptop computer (in years)? b) What is the probability that a laptop computer will last more than 6 years?
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...
"SUPERCALIFRAGILISTICOEXPIALIDOSO" is a manufacturing company of resistors which are known to have an exponential failure rate distribution failure rate= 9.09 x10 -5 exponent. At what point in time will 20% of these resistors be expected to still be working
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...