The lifetime X of a certain device has an exponential

Chapter 3, Problem 11E

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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).

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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).


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