5. Mechanical failures of a school bus constitute a Poisson process. Based on past records, a bus will fail once every 7000 miles of driving distance. (a) If school buses are scheduled for inspection...
5. Mechanical failures of a school bus constitute a Poisson process. Based on past records, a bus will fail once every 7000 miles of driving distance. (a) If school buses are scheduled for inspection and maintenance after every 4000 miles, what is the probability of mechanical failure of at least one bus between inspections (b) In a fleet of 8 buses, what is the probability that no more than one bus will have mechanical failures within the 4000 mile inspection and maintenance interval?Assume that the failures between buses are statistically independent (c) As the engineer in charge, you want to ensure that the probability of failure between inspections is no more than 10% for each bus. What should be the revised ınspection and Imaintenance interval inmiles!
5. Mechanical failures of a school bus constitute a Poisson process. Based on past records, a bus will fail once every 7000 miles of driving distance. (a) If school buses are scheduled for inspection and maintenance after every 4000 miles, what is the probability of mechanical failure of at least one bus between inspections (b) In a fleet of 8 buses, what is the probability that no more than one bus will have mechanical failures within the 4000 mile inspection and maintenance interval?Assume that the failures between buses are statistically independent (c) As the engineer in charge, you want to ensure that the probability of failure between inspections is no more than 10% for each bus. What should be the revised ınspection and Imaintenance interval inmiles!