The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by 2e-(x+2y) x20, y 20 fx,y(x,y) =} else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.7772 b. 0.3935 10 c. 0.606 d. 0.6318 e. 0.3669

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The life lengths of two transistors in an electronic circuit is a random vector
(X; Y ) where X is the life length of transistor 1 and Y is the life length of
transistor 2. The joint probability density function of (X; Y ) is given by
2e-(x+2y)
X> 0, γ> 0
fx,ylx,v) = {
else
Then the probability that the first transistor last for at least half hour given that the second one
lasts at least half hour equals
Select one:
a. 0.7772
b. 0.3935
10
c. 0.606
d. 0.6318
e. 0.3669
Transcribed Image Text:The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by 2e-(x+2y) X> 0, γ> 0 fx,ylx,v) = { else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.7772 b. 0.3935 10 c. 0.606 d. 0.6318 e. 0.3669
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