Suppose that a constant voltage source of 10 V supplies a current I (in mA) through a resistive load with a stochastic resistance R (in k) defined by the PDF as follows. fr(r) = { Knowing from ohm's law that I, the derived distribution of I is given by the following PDF: f(0) = {(² 0, A = [1500r - 750r²- 742.5, 0.9≤r≤1.1 10, elsewhere B = C = [(Ai + Bi² + C), and 100 11 sis elsewhere 100 9 , where Meanwhile, the expected value of I (in mA) is equal to

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Suppose that a constant voltage source of 10 V supplies a current I (in mA)
through a resistive load with a stochastic resistance R. (in k) defined by
the PDF as follows.
fR (r)
B =
=
C =
-{1
1500r750r²- 742.5, 0.9≤r≤1.1
elsewhere
Knowing from ohm's law that I =
Ꭱ
the following PDF:
fi(i) = { ¦ (Ai + Bi² + C),
A =
0₂
and
I
the derived distribution of I is given by
100
11
<i<
elsewhere
100
9, where
Meanwhile, the expected value of I (in mA) is equal to
Transcribed Image Text:Suppose that a constant voltage source of 10 V supplies a current I (in mA) through a resistive load with a stochastic resistance R. (in k) defined by the PDF as follows. fR (r) B = = C = -{1 1500r750r²- 742.5, 0.9≤r≤1.1 elsewhere Knowing from ohm's law that I = Ꭱ the following PDF: fi(i) = { ¦ (Ai + Bi² + C), A = 0₂ and I the derived distribution of I is given by 100 11 <i< elsewhere 100 9, where Meanwhile, the expected value of I (in mA) is equal to
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