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The lifetime X of a certain device has an exponential
Chapter 3, Problem 11E(choose chapter or problem)
Problem 11E
The lifetime X of a certain device has an exponential distribution with mean five years. However, the device is not observed on a continuous basis until after three years. Hence, we actually observe Y = max(X, 3). Compute E(Y).
Questions & Answers
QUESTION:
Problem 11E
The lifetime X of a certain device has an exponential distribution with mean five years. However, the device is not observed on a continuous basis until after three years. Hence, we actually observe Y = max(X, 3). Compute E(Y).
ANSWER:
Solution :
Step 1 of 2:
The lifetime X of a device follows exponential distribution with mean 5 years But the device is not observed on a continuous basis until after three years. If we observe Y= max( X,3).
We have to compute E(Y).