A manufacturer of computer printers purchases plastic ink cartridges from a vend

Question

A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random sample of 208 cartridges is selected, and each cartridge is inspected. If the sample proportion of defective cartridges is more than 0.02, the entire shipment is returned to the vendor.

(a) What is the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05? (Round your answer to four decimal places.)


(b) What is the approximate probability that a shipment will not be returned if the true proportion of defective cartridges in the shipment is 0.10? (Round your answer to four decimal places.)

Explanation / Answer

This is Binomial with n= 208 and p=0.05 or for problem b, p=0.10. a) It will be returned if the number is more than 0.02(208) = 4.16 so more than 4. The expected number is 0.05(208) = 10.4 P(X > 4) = 1 - P(X

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