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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 kilo ohms) defined by the PDF as follows. Where, A = fr(r) = {1500 Since I = V/R, the derived distribution of I is defined by the following PDF: 100 11 B = (1500r - 750r² - 742.5, 0.9 ≤ r ≤ 1.1 elsewhere KO fi(i)= and C= (Ai + Bi² + C), 100 9 sis elsewhere Find the values for A, B, C, and give the expected value of I (in mA). (Express the answer in at least 4 decimal places)

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 kilo ohms) defined by the PDF as follows. Where, A = fr(r) = {1500 Since I = V/R, the derived distribution of I is defined by the following PDF: 100 11 B = (1500r - 750r² - 742.5, 0.9 ≤ r ≤ 1.1 elsewhere KO fi(i)= and C= (Ai + Bi² + C), 100 9 sis elsewhere Find the values for A, B, C, and give the expected value of I (in mA). (Express the answer in at least 4 decimal places)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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 kilo ohms) defined by the PDF as follows. f_R (r)={█(1500r-750r^2-742.5, 0.9≤r≤1.1 0, elsewhere )┤ Since I = V/R, the derived distribution of I is defined by the following PDF: f_I (i)={█(1/i^4 (Ai+Bi^2+C), 100/11 ≤i≤ 100/9 0, elsewhere)┤ Where, A = ____, B = ____, and C = ____. Find the values for A, B, C, and give the expected value of I (in mA). (Express the answer in at least 4 decimal places)

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 kilo ohms) defined by the PDF as follows. (1500r 750r² - 742.5, 0.9 ≤r≤ 1.1 elsewhere Since I = V/R, the derived distribution of I is defined by the following PDF: 100 11 Where. A = fr(r) = {1500 B = fi(i) = & and C= (Ai + Bi² + C), 0, 100 9 sis elsewhere Find the values for A, B, C, and give the expected value of I (in mA). (Express the answer in at least 4 decimal places)
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 kilo ohms) defined by the PDF as follows. (1500r 750r² - 742.5, 0.9 ≤r≤ 1.1 elsewhere Since I = V/R, the derived distribution of I is defined by the following PDF: 100 11 Where. A = fr(r) = {1500 B = fi(i) = & and C= (Ai + Bi² + C), 0, 100 9 sis elsewhere Find the values for A, B, C, and give the expected value of I (in mA). (Express the answer in at least 4 decimal places)
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