You're a quality control inspector at a brewery, where you inspect the beer canning process. There are three production lines that produce beer cans, and you identify nonconforming beer cans according to five defect types. The table below provides the proportions of defect types for nonconforming cans for each of the three lines during a particular time period. During this period, line 1 produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 produced 600 such cans. Suppose that one of these 1500 cans was selected randomly. a. What is the probability that the can was produce by line 1? b. What is the probability that the reason for the nonconformance is a surface defect? c. Given that the selected can had a surface defect, what is the probability that it came from line 3? Defect type Blemish Crack Pull-tab problem Surface defect Other Line 1 0.15 0.50 0.21 0.10 0.04 Line 2 0.12 0.44 0.28 0.08 0.08 Line 3 0.20 0.40 0.24 0.15 0.01

You're a quality control inspector at a brewery, where you inspect the beer canning process. There are three production lines that produce beer cans, and you identify nonconforming beer cans according to five defect types. The table below provides the proportions of defect types for nonconforming cans for each of the three lines during a particular time period. During this period, line 1 produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 produced 600 such cans. Suppose that one of these 1500 cans was selected randomly. a. What is the probability that the can was produce by line 1? b. What is the probability that the reason for the nonconformance is a surface defect? c. Given that the selected can had a surface defect, what is the probability that it came from line 3? Defect type Blemish Crack Pull-tab problem Surface defect Other Line 1 0.15 0.50 0.21 0.10 0.04 Line 2 0.12 0.44 0.28 0.08 0.08 Line 3 0.20 0.40 0.24 0.15 0.01

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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