A company makes a certain device. We are interested in the lifetime of the device. It is
Question:
A company makes a certain device. We are interested in the lifetime of the device. It is estimated that around 2% of the devices are defective from the start so they have a lifetime of 0 years. If a device is not defective, then the lifetime of the device is exponentially distributed with a parameter λ = 2 years. Let X be the lifetime of a randomly chosen device.
a. Find the generalized PDF of X.
b. Find P(X ≥ 1).
c. Find P(X > 2|X ≥ 1).
d. Find EX and Var(X).
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a Generalized PDF of X The generalized PDF of X is given by gx p l p if x 0 1 p l expl x if x 0 where p is the probability that the device is defectiv...View the full answer
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Related Book For 
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
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