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3 (10pts). A Factory produces light bulbs from two different machines: Machine A and Machine B. The probability that a randomly selected light bulbs is from Machine A is 60%, and the probability that a light bulb is defective is 5%. Suppose that probability that a light bulb is defective given that it was made by Machine A is 0.05. Similarly, the probability that a light bulb is defective given that it was made by Machine B is 0.03. Are the events "the light bulb is from Machine A" and "the light bulb is defective" independent?

3 (10pts). A Factory produces light bulbs from two different machines: Machine A and Machine B. The probability that a randomly selected light bulbs is from Machine A is 60%, and the probability that a light bulb is defective is 5%. Suppose that probability that a light bulb is defective given that it was made by Machine A is 0.05. Similarly, the probability that a light bulb is defective given that it was made by Machine B is 0.03. Are the events "the light bulb is from Machine A" and "the light bulb is defective" independent?

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter29: Dc Generators
Section: Chapter Questions
Problem 1PA: You are working as an electrician in a large steel manufacturing plant, and you are in the process...
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3 (10pts). A Factory produces light bulbs from two different machines: Machine A and Machine B. The probability that a randomly selected light bulbs is from Machine A is 60%, and the probability that a light bulb is defective is 5%. Suppose that probability that a light bulb is defective given that it was made by Machine A is 0.05. Similarly, the probability that a light bulb is defective given that it was made by Machine B is 0.03. Are the events "the light bulb is from Machine A" and "the light bulb is defective" independent?
Transcribed Image Text:3 (10pts). A Factory produces light bulbs from two different machines: Machine A and Machine B. The probability that a randomly selected light bulbs is from Machine A is 60%, and the probability that a light bulb is defective is 5%. Suppose that probability that a light bulb is defective given that it was made by Machine A is 0.05. Similarly, the probability that a light bulb is defective given that it was made by Machine B is 0.03. Are the events "the light bulb is from Machine A" and "the light bulb is defective" independent?
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