Company A receives large shipments of microprocessors from Company B. It must tr

Question

Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test eightmicroprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is? defective, the shipment is returned. Complete parts a through c.

a. If Company? B's shipment contains 13% defective? microprocessors, calculate the probability the entire shipment will be returned.

The probability is

?(Round to four decimal places as? needed.)

b. If Company B and Company A agree that Company B will not provide more than

5?% defective? chips, calculate the probability that the entire shipment will be returned even though only 5?%are defective.

The probability is ?(Round to four decimal places as? needed.)

c. Calculate the probability that the entire shipment will be kept by Company A even though the shipment has 13?% defective microprocessors.

The probability is

?(Round to four decimal places as? needed.)

Explanation / Answer

a)P(entire shipment will be returned)=1-P(none is defective) =1-(1-0.13)8 =0.6718

b) P(entire shipment will be returned)=1-P(none is defective) =1-(1-0.05)8 =0.3366

c)

probability that the entire shipment will be kept =(1-0.13)8 =0.3282

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