SOLUTION: 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 cartr

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Question 360881: 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 .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 0.07? (Round the answers to three decimal places.)
P =
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
208*.02=4.16
If 5 are defective the shipment will be returned; 4 defective is OK.
Let y=.07 and x=.93
Expand (x+y)^208
x^208+208x^207y+21528x^206y^2+1478256x^205y^3+75760620x^204y4=.00089 Probability 4 or less found defective.
1-.00089=.999 probability shipment will be returned.
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Ed