Amanufacturing machine has a 8% defect rate. if 4 items are chosen at random, what is the probability that at least one will have a defect?

Given that a manufacturing machine has a 8% defect rate, thus p = 0.08.

The probability of a binomial distribution of n trials with p as the probability of success is given by:



 If 4 items are chosen at random, the probability that at least one will have a defect is given by the probablity that it is not the case that no one will have defect.

Thus,