Answer:
0.4866 = 48.66% probability that the engine will fail before it is inspected
Explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Exponentially distributed with mean 900 hours.
This means that
If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?
This is
, which is:
0.4866 = 48.66% probability that the engine will fail before it is inspected