life lengths of two transistors in an ele uit is a random vector Y ) where X is the life length of transist he life length of sistor 2. The joint probability density fu Y ) is given by 2e-(x+2y) X 20, y 20 Xx,v)= else n the probability that the first transisto st half hour given that the second one la = hour equals ect one: a. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606

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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 2 0, y 20
fx,y(x,y) =
fx.MX.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. 0.3669
b. 0.3935
c. 0.7772
d. 0.6318
e. 0.606
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 2 0, y 20 fx,y(x,y) = fx.MX.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. 0.3669 b. 0.3935 c. 0.7772 d. 0.6318 e. 0.606
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