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Furniture manufacturing companies often deal with the quality of the drilling of dowel holes. Consider the...

Furniture manufacturing companies often deal with the quality of the drilling of dowel holes. Consider the case of Company​ X, which believes that when the drilling process is operating at an acceptable​ rate, the upper limit on the percentage of incorrectly drilled dowel holes is 8​%. To monitor its drilling​ process, the company randomly samples 12 products each hour and determines if the dowel hole in each product is correctly drilled or not.​ If, in the sample of 12 ​holes, 1 or more incorrectly drilled holes is​ discovered, the production process is stopped and the drilling process is recalibrated. Use this information to complete parts a through c.

a. If the process is really operating correctly (p=0.08), what is the probability that the sampling effort will produce x=0 defective holes and thus the process will properly be left to continue running? _________ (Round 4 decimal places as needed.)

math   Statistics-And-Probability   
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