The Ozzie Chocolate Company manufactures specialty dark chocolate figurines. One of the products is a figurine in the shape of a cat. The manufacturing line has had some trouble with the figurines being produced with broken ears. The defect rate has historically been 0.018.
The company uses a sample size of 478 and 3 sigma limits to monitor the process.
Calculate the 3 sigma lower control limit for the defect rate. Your answer should have five (5) decimal places in it. Do not round any intermediate calculations.