A distributor receives a large shipment of components. Thedistributor would like to accept the shipment if 10% or fewer ofthe components are defective and to return it if more than 10% ofthe components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective.

a. If the proportion of defectives inthe batch is in fact 10%, what is the probability thatshe will return the shipment?

b. If the proportion ofdefectives in the batch is 20%, what is the probability that she will return the shipment?