7. There are 1000 different components in the system that your department has just designed. The objective is that for each of the systems that you deliver to a customer, it should have a probability of 0.999 of functioning properly. Your system is such that at most 8 components can be bad for it to still function. What must be the maximum probability for each of your components to fail for you to achieve your objective? Assume that all the probabilities are independent and equal to each other.