Answer to Question #340096 in Statistics and Probability for Uya

Question

A large manufacturing company is in the process of training its personnel in quality-control

procedures. At present 40% of the assembly lines use control charts, 40% use inspection

techniques and the remaining assembly lines do not use any method for controlling quality.

Assume that an assembly line can only use a maximum of 1 method, if any, for quality

control.

The assembly lines that use control charts have a 1% defective rate. The assembly lines

that use inspection techniques have a 5% defective rate. The assembly lines that do not use

any quality-control techniques have a 12% defective rate. The probability that an item

produced by this company is defective is (correct to 3 decimal places):

Answer 1

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