An electronics corporation buys parts from suppliers all over
the country. One part is currently being purchased from a supplier
under a contract that calls for at most 5% of the parts to be
defective. When a shipment arrives, the corporation randomly
samples 10 parts. If it finds 2 or fewer defective parts in the
sample, it keeps the shipment: otherwise, it returns the entire
shipment to the supplier. Assuming that the conditions for a
binomal distribution are satisified, what is the probability that
the sample will lead the corporation to reject the shipment if the
defective rate is actually 5%?