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...
icon
Related questions
Question
2
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?
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax