A lumber company manufactures plywood at one if its plants. Plywood contains minor imperfections that can be repaired with small "plugs." One customer will accept plywood with a maximum of

4 plugs per sheet on average. Suppose a shipment was sent to this customer, and when the customer inspected

2 sheets at random,

11 plugged defects were counted. What is the probability of observing

11 or more plugged defects if in fact the

4 average per sheet is being satisfied? Comment on what this probability implies about whether the company is meeting the

4 per sheet defect rate.

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