b) The life of an electronic device is known to have the exponential distribution
with parameter = 1
1000 .
(i) What is the probability that the device lasts more than 1000 hours?
[2 marks]
(ii) What is the probability it will last less than 1200 hours?
[2 marks]
(iii) Find the mean and variance of the life of the electronic device.
[4 marks]
Let the life of an electronic device:
Given
For sufficiently large values of (say ), the Distribution is an excellent approximation to the Poisson Distribution.
(i)
(ii)
(iii)
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