2. Suppose the joint CDF of X and Y is given by Y € (-0,0) | Y € [0, 2) | Y € [2, 4) Y € [4, 00) XE (∞,0) X€ 0,1) XE 1,3) X € (3, 00) | 0.01 0.11 0.26 0.03 0.33 0.63 0.06 0.66 (a) Draw the partitioning of R2 based on the Fx.y(x, y) values. (b) Find P(X = 2, Y = 1) (c) Find P(1 < X < 3,2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 9BEXP
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2. Suppose the joint CDF of X and Y is given by
| Y € (-0,0) | Y e [0, 2) | Y € [2, 4) | Y € [4, 0)
XE (0,0)
XE 0, 1)
XE 1,3)
X€ (3, 0)
0.03
0.33
0.63
0.06
0.66
1
0.01
0.11
0.26
(a) Draw the partitioning of R2 based on the Fx.y(x, y) values.
(b) Find P(X = 2, Y = 1)
(c) Find P(1< X s 3,2 <Y< 4)
Transcribed Image Text:2. Suppose the joint CDF of X and Y is given by | Y € (-0,0) | Y e [0, 2) | Y € [2, 4) | Y € [4, 0) XE (0,0) XE 0, 1) XE 1,3) X€ (3, 0) 0.03 0.33 0.63 0.06 0.66 1 0.01 0.11 0.26 (a) Draw the partitioning of R2 based on the Fx.y(x, y) values. (b) Find P(X = 2, Y = 1) (c) Find P(1< X s 3,2 <Y< 4)
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