Bolts are produced in large quantities and it is expected that there is a 4% rejection rate
due to some form of defect. A batch of 40 bolts are randomly selected for inspection.
Using the Poisson distribution, find the probability that
(a) the batch contains at least one defective.
(b) the batch contains no defectives.
Ten such batches are randomly selected. If it is found that at least 2 batches have at least
4 defective, the total output is considered for the scrap heap to be recycled.
(c) Find the probability that the total output is sent to the scrap heap.
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