Two different factories both produce a certain automobile part. The probability that a component from the first factory is defective is 2%, and the probability that a component from the second factory is defective is 5%. In a supply of 180 of the parts, 100 were obtained from the first factory and 80 from the second factory. a. What is the probability that a part chosen at random from the 180 is from the first factory? [Select ] b. What is the probability that a part chosen at random from the 180 is from the second factory? [ Select] c. What is the probability that a part chosen at random from the 180 is defective? [Select ]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two different factories both produce a certain automobile part. The probability that a component from the first factory is defective is 2%,
and the probability that a component from the second factory is defective is 5%.
In a supply of 180 of the parts, 100 were obtained from the first factory and 80 from the second factory.
a. What is the probability that a part chosen at random from the 180 is from the first factory? I Select]
b. What is the probability that a part chosen at random from the 180 is from the second factory? 1 Select
]
c. What is the probability that a part chosen at random from the 180 is defective? Select]
d. If the chosen part is defective, what is the probability that it came from the first factory? 1Select
Transcribed Image Text:Two different factories both produce a certain automobile part. The probability that a component from the first factory is defective is 2%, and the probability that a component from the second factory is defective is 5%. In a supply of 180 of the parts, 100 were obtained from the first factory and 80 from the second factory. a. What is the probability that a part chosen at random from the 180 is from the first factory? I Select] b. What is the probability that a part chosen at random from the 180 is from the second factory? 1 Select ] c. What is the probability that a part chosen at random from the 180 is defective? Select] d. If the chosen part is defective, what is the probability that it came from the first factory? 1Select
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