2. Let X and Y be jointly continuous random variables with joint PDF f(x.V) = x + cy2 0, OSXS1,0Sys1 elsewhere a) Find the constant c b) Find the marginal PDF's fy(x) and fy(y) c) Find P(OSXS1/2,0SYS/2)
2. Let X and Y be jointly continuous random variables with joint PDF f(x.V) = x + cy2 0, OSXS1,0Sys1 elsewhere a) Find the constant c b) Find the marginal PDF's fy(x) and fy(y) c) Find P(OSXS1/2,0SYS/2)
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 and Y be jointly continuous random variables with joint PDF
x + cy2
0,
OSXS1,0Sys1
elsewhere
a) Find the constant c
Find the marginal PDF's fy(x) and fy(y)
c) Find P(OSXS1/2,0SYS1/2)
b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefc37f0e-b2ea-4c52-9f40-5ea037cb7fa1%2Fcdb3544d-500a-4d8f-bcd5-f0f8ae2732db%2Fioohd83_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let X and Y be jointly continuous random variables with joint PDF
x + cy2
0,
OSXS1,0Sys1
elsewhere
a) Find the constant c
Find the marginal PDF's fy(x) and fy(y)
c) Find P(OSXS1/2,0SYS1/2)
b)
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