Suppose that a system contains a certain type of component whose time in years to failure is given by T. The random variable T is modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of these components are installed in different systems, what is the probability that at least 2 are still functioning at the end of 8 years? Please round your final answer to 4 decimal places.
Suppose that a system contains a certain type of component whose time in years to failure is given by T. The random variable T is modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of these components are installed in different systems, what is the probability that at least 2 are still functioning at the end of 8 years? Please round your final answer to 4 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Suppose that a system contains a certain type of component whose time in years to failure is given by T. The
random variable T is modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of
these components are installed in different systems, what is the probability that at least 2 are still functioning
at the end of 8 years?
Please round your final answer to 4 decimal places.
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