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Q2: Find F,(y) and fy(y) if y = -4x+3 and f(x) = 2e-²xU(x).

Q2: Find F,(y) and fy(y) if y = -4x+3 and f(x) = 2e-²xU(x).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) y²] 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) y²] Find the marginal densities and distributions of X and Y.
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