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2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere. c. Find the marginal density g(x). d. Find the marginal density h(y).

2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere. c. Find the marginal density g(x). d. Find the marginal density h(y).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density = {1.5 (x² + y²),0 ≤ x, y ≤ 1, elsewhere. f(x, y) = c. Find the marginal density g(x). d. Find the marginal density h(y).
Transcribed Image Text:2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density = {1.5 (x² + y²),0 ≤ x, y ≤ 1, elsewhere. f(x, y) = c. Find the marginal density g(x). d. Find the marginal density h(y).
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