A distributor receives a large shipment of components. Thedistributor would like

Question

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 10components, and to return the shipment if more than 1 of the 10 isdefective.

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?

c) If the proportion ofdefectives in the batch is 2%, what is the

     probability that she will return the shipment?

d)    The distributor decides that she will acceptthe shipment only if

none of the sampled items aredefective. What is the minimum number of items she shouldsample if she wants to have a probability no greater than 0.01 ofaccepting the shipment if 20% of the components in the shipment aredefective?

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