In a 1-hour output of a production line, Line 1 produces 2 defective and 3 non-defective items intheir output box. Line 2 output box contains 7 defective and 5 non-defective items. If B1 is the eventof randomly selecting the output of Line 1, and B2 is the event of randomly selecting the output ofLine 2, having probabilities of 0.4 and 0.6 respectively.a. Draw the complete tree diagram indicating the probability values.b. What is the probability that the item is defective given that it came from Line 1?c. What is the probability that of randomly selecting 1 item from the two lines, the item is non-defective?d. What is the probability that the item is from Line 2 given that it is non-defective?e. Given that it is defective, what is the probability that it came from Line 1?

Answered: Image /qna-images/answer/f8357c9b-4621-4788-a276-40956220120d.jpg

Answered: a. Draw the complete tree diagram…

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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