There is a contractual requirement to demonstrate with 90% confidence that a vehicle can achieve a 100 KM mission with a reliability of 99%. The acceptance test is performed by running 10 vehicles over a 50,000 KM test track.
a) What is the contractual MTTF? (Assuming exponential distribution)
b) What is the maximum number of failures that can be experienced on the demonstration test without violating the contractual requirement? (Assuming exponential distribution)