Solution: In Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours

Chapter 5, Problem 5.112

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QUESTION:

In Exercise 5.18,  and  denotes the lengths of life, in hundreds of hours, for components of types I and II respectively, in an electronic system. The joint density of and is

 

The cost C of replacing the two components depends upon their length of life at failure and is given by  Find  and  

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QUESTION:

In Exercise 5.18,  and  denotes the lengths of life, in hundreds of hours, for components of types I and II respectively, in an electronic system. The joint density of and is

 

The cost C of replacing the two components depends upon their length of life at failure and is given by  Find  and  

ANSWER:

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Given that,

 and  denotes the lengths of life, in hundreds of hours, for components of types I and II respectively, in an electronic system. The joint density of and is

                                    

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