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) Find P(OSXS1/2,0SYS/2) c)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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2. Let X and Y be jointly continuous random variables with joint PDF
x + cy2
0,
OSXS1,0<y<1
elsewhere
a) Find the constant c
Find the marginal PDF's fy(x) and fy(y)
Find P(OSXS1/2,0SYS/2)
c)
Transcribed Image Text:2. Let X and Y be jointly continuous random variables with joint PDF x + cy2 0, OSXS1,0<y<1 elsewhere a) Find the constant c Find the marginal PDF's fy(x) and fy(y) Find P(OSXS1/2,0SYS/2) c)
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