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 fx(x) and fy(y) Find P(OSXS1/2,OSYS1/2) b)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Let X and Y be jointly continuous random variables with joint PDF
x + cy2
fy(X.v) =
OsxS1,0Sys1
elsewhere
la) Find the constant c
b)
Find the marginal PDF's fx(x) and fy(y)
c)
Find P(OSXS1/2,05YS/2)
Transcribed Image Text:2. Let X and Y be jointly continuous random variables with joint PDF x + cy2 fy(X.v) = OsxS1,0Sys1 elsewhere la) Find the constant c b) Find the marginal PDF's fx(x) and fy(y) c) Find P(OSXS1/2,05YS/2)
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