Each box is packed with 40 units of components. An inspector will randomly select 5 units from a box to test if the components are in good condition. A box will be rejected if 2 or more tested units are defective.
A shipment includes 400 boxes of the components. Each box will be tested by the inspector. The whole shipment will be returned if more than 90 boxes of components are rejected.
The ordering records in the past showed that 20% of the boxes were rejected. What is the probability that a given shipment will be returned?
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Is there enough information given in this problem? My initial impression is no.
But this seems like all the question has for me to answer it. And because this is an exam question, I think there should have enough information provided to solve the problem.