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 fx.y(x,y) = } 2e-*+2) x20, y20 else Then the probability that the first transistor burned during the first hour and a half given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.7772 c. 0.3935 d. 0.606 e. 0.6318

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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
fx.y(x,y) = } 2e-*+2) x20, y20
else
Then the probability that the first transistor burned during the first hour and a half given that the
second one lasts at least half hour equals
Select one:
a. 0.3669
b. 0.7772
c. 0.3935
d. 0.606
e. 0.6318
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 fx.y(x,y) = } 2e-*+2) x20, y20 else Then the probability that the first transistor burned during the first hour and a half given that the second one lasts at least half hour equals Select one: a. 0.3669 b. 0.7772 c. 0.3935 d. 0.606 e. 0.6318
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