A manufacturer guarantees that a shipment of Raschig rings has no more than 2% broken rings. A stockman takes a random sample of 100 rings. Assuming that the Poisson distribution applies, what is the...

A manufacturer guarantees that a shipment of Raschig rings has no more than 2% broken rings. A stockman takes a random sample of 100 rings. Assuming that the Poisson distribution applies, what is the highest number of broken rings the stockman should accept to be {a) 95% confident of the manufacturer's guarantee? (b) 99% confident?