, there are two machines. Machine A and B that produce screws. Machine A produces 25% of the daily output, while machine B produces 75% of the daily output. Of their output, 10% and 2% of their output are defective, respectively. a. A box of 30 screws is chosen at random from a day’s production and found one of them to be defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day’s production and found to be defective. What is the probability that it came from machine A? c. What is the probability of defective product of this factory? Quality assurance employee start testing a group of screws, what is the probability that the 4th screw will be def

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a screw factor, there are two machines. Machine A and B that produce screws. Machine A produces 25% of the daily output, while machine B produces 75% of the daily output. Of their output, 10% and 2% of their output are defective, respectively. a. A box of 30 screws is chosen at random from a day’s production and found one of them to be defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day’s production and found to be defective. What is the probability that it came from machine A? c. What is the probability of defective product of this factory? Quality assurance employee start testing a group of screws, what is the probability that the 4th screw will be defective?
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