In a shipment of very large number of microchips, a good shipment $($defined by the producer$)$ has defective proportion as $0\mathrm{.}02\%$ and a bad shipment $($defined by the customer$)$ has defective proportion as $0\mathrm{.}245\%.$ The customer has the resources and time to inspect $900$ microchips per shipment. The sampling plan has stated that, as long as the sample does not reveal more than $5$ defectives, the customer is liable to accept the entire shipment.