In Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours, for components of types I and II, respectively, in an electronic system. The joint density of Y1 and Y2 is (1/8)y¡e-Oi+92)/2, yı > 0, y2 > 0, f (y1, y2) = 0, elsewhere. One way to measure the relative efficiency of the two components is to compute the ratio Y2/ Y1. Find E(Y2/Y1). [Hint: In Exercise 5.61, we proved that Y1 and Y2 are independent.]

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5.81 In Exercise 5.18, Y¡ and Y2 denoted the lengths of life, in hundreds of hours, for components
of types I and II, respectively, in an electronic system. The joint density of Y1 and Y, is
(1/8)yje-9i+y2)/2, yı > 0, y2 > 0,
f (y1, y2) =
0,
elsewhere.
One way to measure the relative efficiency of the two components is to compute the ratio Y2/ Y1.
Find E(Y2/Y1). [Hint: In Exercise 5.61, we proved that Yj and Y2 are independent.]
Transcribed Image Text:5.81 In Exercise 5.18, Y¡ and Y2 denoted the lengths of life, in hundreds of hours, for components of types I and II, respectively, in an electronic system. The joint density of Y1 and Y, is (1/8)yje-9i+y2)/2, yı > 0, y2 > 0, f (y1, y2) = 0, elsewhere. One way to measure the relative efficiency of the two components is to compute the ratio Y2/ Y1. Find E(Y2/Y1). [Hint: In Exercise 5.61, we proved that Yj and Y2 are independent.]
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