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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
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A loss (in $100,000) due to fire in a building has a pdf f(x) = (1/6)ex/6, 0 < x <

Chapter 3, Problem 3.2-21

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QUESTION:

A loss (in $100,000) due to fire in a building has a pdf f(x) = (1/6)ex/6, 0 < x < . Given that the loss is greater than 5, find the probability that it is greater than 8.

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QUESTION:

A loss (in $100,000) due to fire in a building has a pdf f(x) = (1/6)ex/6, 0 < x < . Given that the loss is greater than 5, find the probability that it is greater than 8.

ANSWER:

Problem 3.2.21

A loss (in $ 100,000) due to fire in a building has a pdf

                     

Given that the loss is greater than 5, find the probability that the loss is greater than 8.

                                                               Step by Step Solution

Step 1 of 2

A loss (in $100,000) due to fire in a building has a pdf

Let be a continuous random variable representing the loss (in $100,000) due to fire in the building.

Then,

Therefore,

                     (i)

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