The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with = 0.00004. Round the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20036 hours? i (b) What is the probability that the laser will last at most 30420 hours? i (c) What is the probability that the laser will last between 20036 and 30420 hours? i

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Need only a handwritten solution only (not a typed one).

The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with = 0.00004. Round
the answers to 3 decimal places.
(a) What is the probability that the laser will last at least 20036 hours? i
(b) What is the probability that the laser will last at most 30420 hours? i
(c) What is the probability that the laser will last between 20036 and 30420 hours? i
Transcribed Image Text:The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with = 0.00004. Round the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20036 hours? i (b) What is the probability that the laser will last at most 30420 hours? i (c) What is the probability that the laser will last between 20036 and 30420 hours? i
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,