Question

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.

Answer 1

The answer is 0.008999, approximately =0.009 to 2 Demical Place

Explanation: since we have 1000 different components in the system that has just been designed.

and for it to deliver optimally we have 0.999

and for it not to deliver optimally we have 8.

so calculation wise we would have the following

0.999/1000 = 0.00099+ 0.008(8/1000)=0.008999