0.09% of cars produced in a certain auto company will have technical problems.
The probability that a batch of 500 cars produced in the company will consist fewer than five faulty cars is to be calculated.
Assume that whether or not a car is faulty is independent of whether or not any other car is faulty and that the probability that a car is faulty remains constant. Use an appropriate probability model to calculate the exact and the approximate value of the probability, respectively?