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Q4: Given the function √x,y(x, y) = {b(x + y)² -2

Q4: Given the function √x,y(x, y) = {b(x + y)² -2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Prob ... solve Q 3 & Q 4
Q1: The random variable x is N (5, 2) and y = 2x+4. Find ny, oy, and fy(y). Q2: Find F, (y) and fy(y) if y = -4x+3 and fx(x) = 2e-²xU(x). Q3: The random variable x is uniform in the interval (0, 1). Find the density of the random variable y-in x. Q4: Given the function b(x+y)² -2<x< 2 elsewhere Q5: £x. y(x, y) = { b(x + y)² and -3<y<3 (a) Find the constant b such that this is a valid joint density function. (b) Determine the marginal density functions fx(x) and fy(y). Two random variables X and Y have a joint density fx, y(x, y)=[u(x)- u(x-4)]u(y) y³ exp[-(x + 1)²] Find the marginal densities and distributions of X and Y.
Transcribed Image Text:Q1: The random variable x is N (5, 2) and y = 2x+4. Find ny, oy, and fy(y). Q2: Find F, (y) and fy(y) if y = -4x+3 and fx(x) = 2e-²xU(x). Q3: The random variable x is uniform in the interval (0, 1). Find the density of the random variable y-in x. Q4: Given the function b(x+y)² -2<x< 2 elsewhere Q5: £x. y(x, y) = { b(x + y)² and -3<y<3 (a) Find the constant b such that this is a valid joint density function. (b) Determine the marginal density functions fx(x) and fy(y). Two random variables X and Y have a joint density fx, y(x, y)=[u(x)- u(x-4)]u(y) y³ exp[-(x + 1)²] Find the marginal densities and distributions of X and Y.
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