Question

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.)

Answer 1