Shannow, you are incorrect when you say "most will fail in an average time." In fact, almost all timing belts will be in very good condition in an average time.
To be more precise, The “bell curve” absolutely does NOT describe the relationship between the age and mileage of a car and the likelihood of timing belt failure. If the bell curve described this, after some number of miles the chances of a timing belt failure would DECREASE with increasing mileage – but we KNOW this isn’t the case. The curve that describes the failure rate of timing belts approximates what is known as the “bathtub” curve, which is sort of the OPPOSITE of the bell curve. I hope you haven't been telling too many people about your "bell curve" theory!
To be more precise, The “bell curve” absolutely does NOT describe the relationship between the age and mileage of a car and the likelihood of timing belt failure. If the bell curve described this, after some number of miles the chances of a timing belt failure would DECREASE with increasing mileage – but we KNOW this isn’t the case. The curve that describes the failure rate of timing belts approximates what is known as the “bathtub” curve, which is sort of the OPPOSITE of the bell curve. I hope you haven't been telling too many people about your "bell curve" theory!