a. Draw the tree diagram showing this entire experiment b. If an item is selected at random, find the probability that the item is defective, P(D),

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. Three machines A, B, and C produce respectively 50%, 30%, and 20% of the total number of
items of a factory. The percentages of defective output of these machines are respectively, 3%,
4%, and 5%. Letting D be the event that an item is defective, and N be the event that the item
is not defective:
a. Draw the tree diagram showing this entire experiment
b. If an item is selected at random, find the probability that the item is defective, P(D),
2
Transcribed Image Text:2. Three machines A, B, and C produce respectively 50%, 30%, and 20% of the total number of items of a factory. The percentages of defective output of these machines are respectively, 3%, 4%, and 5%. Letting D be the event that an item is defective, and N be the event that the item is not defective: a. Draw the tree diagram showing this entire experiment b. If an item is selected at random, find the probability that the item is defective, P(D), 2
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