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? b. What is the probability that a part chosen at random from the 180 is from the second factory? c. What is the probability that a part chosen at random from the 180 is defective? d. If the chosen part is defective, what is the probability that came from the first factory?
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? b. What is the probability that a part chosen at random from the 180 is from the second factory? c. What is the probability that a part chosen at random from the 180 is defective? d. If the chosen part is defective, what is the probability that came from the first factory?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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This is a Discrete Math problem.

Transcribed Image Text:15. 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?
b. What is the probability that a part chosen at random from the
180 is from the second factory?
c. What is the probability that a part chosen at random from the
180 is defective?
d. If the chosen part is defective, what is the probability that it
came from the first factory?
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