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)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman