The probability generating function for a random variable X is given by: 1 + 1 10 + 1 710 4 8 P(X < 5 |X > 13) equals Select one: а. О b. 0.8 c. 1 d. 0.2 e. 0.286

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Chapter1: Combinatorial Analysis
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The probability generating function for a random variable X is given by:
gx(2) = 3
1
-z²+
1
1,25
10
20
+
4
8
P(X < 5 |X > 13) equals
Select one:
а. О
b. 0.8
с. 1
d. 0.2
e. 0.286
Transcribed Image Text:The probability generating function for a random variable X is given by: gx(2) = 3 1 -z²+ 1 1,25 10 20 + 4 8 P(X < 5 |X > 13) equals Select one: а. О b. 0.8 с. 1 d. 0.2 e. 0.286
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,v) =
else
Then the probability that the first transistor burned during the first hour given that the second one
lasts at least half hour equals
Select one:
a. 0.606
b. 0.3669
c. 0.7772
d. 0.3935
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 2e-(x+2y) x20, y 20 fx,y(x,v) = else Then the probability that the first transistor burned during the first hour given that the second one lasts at least half hour equals Select one: a. 0.606 b. 0.3669 c. 0.7772 d. 0.3935 e. 0.6318
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