The time required to repair a machine is an exponentially distributed random variable with mean of 0.5 hour. 1) What is the probability that a repair time exceeds 0.5 hour?
The time required to repair a machine is an exponentially distributed random variable with mean of 0.5 hour. 1) What is the probability that a repair time exceeds 0.5 hour?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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![The time required to repair a machine is an exponentially distributed
random variable with mean of 0.5 hour.
1) What is the probability that a repair time exceeds 0.5 hour?
2) What is the probability that a repair takes at least 12.5 hours given that the machine has
already been repaired for 12 hours?
6
3) What is the probability that a repair takes at most 12.5 hours given that the machine has
already been repaired for 12 hours?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2252b7a8-3109-483f-a9d2-dadba438df62%2Fbf291e2f-d9d1-41a3-a206-c8e66211feab%2Fi607v1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The time required to repair a machine is an exponentially distributed
random variable with mean of 0.5 hour.
1) What is the probability that a repair time exceeds 0.5 hour?
2) What is the probability that a repair takes at least 12.5 hours given that the machine has
already been repaired for 12 hours?
6
3) What is the probability that a repair takes at most 12.5 hours given that the machine has
already been repaired for 12 hours?
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