Estimate exponential distribution parameter

  • Thread starter Gauss M.D.
  • Start date
  • #1
Gauss M.D.
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1

Homework Statement



A certain type of transistor has an exponentially distributed time of operation. After testing 400 transistors, it is observed that after one time unit, only 109 transistors are working.

Estimate the expected time of operation.


Homework Equations





The Attempt at a Solution



It was suggested that I approximate with

X ≈ Bin(400,p)

Then conclude that p can be estimated with p* = 109/401 = e-1/μ

That part I don't get is: why is p = e-1/μ ?
 

Answers and Replies

  • #2
36,103
13,031
In an exponential distribution, what is the probability that something survives for a time t? Then set t=1.
 

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