W4109: PROBABILITY & STATISTICAL INFERENCE Fall 2008 ...

ePAPER READ

DOWNLOAD ePAPER

stat.columbia.edu

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

START NOW

17. DeGroot & Schervish. Suppose that X and Y are random variables such that

(X, Y ) must belong to the rectangle 0 ≤ x ≤ 3 and 0 ≤ y ≤ 4. Suppose also that the

joint c.d.f. of X and Y for every (x, y) in the rectagle is as follows:

Determine

F (x, y) = 1

156 xy(x2 + y).

(a) P(1 ≤ X ≤ 2 and 1 ≤ Y ≤ 2);

(b) P(2 ≤ X ≤ 4 and 2 ≤ Y ≤ 4);

(d) the joint p.d.f. of X and Y ;

(e) P(Y ≤ X).

sinning in the basement: what are the rules? the ten commandments ...

Curriculum VitÃ¦ for Philip Protter - Department of Statistics ...

Kenneth E. Shirley - Department of Statistics - Columbia University

Curriculum Vitae - Department of Statistics - Columbia University

Lectures for Part II: Time Series Models in Finance

The Self-Controlled Case Series - Department of Statistics ...

Pricing Asian Options in a Semimartingale Model - Department of ...

My CV - Department of Statistics - Columbia University

Efficient Gibbs Sampling of Truncated Multivariate Normal with ...

Validation of Software for Bayesian Models using Posterior ...

How many X's do you know'' surveys - Columbia University

17. DeGroot & Schervish. Suppose that X and Y are random variables such that (X, Y ) must belong to the rectangle 0 ≤ x ≤ 3 and 0 ≤ y ≤ 4. Suppose also that the joint c.d.f. of X and Y for every (x, y) in the rectagle is as follows: Determine F (x, y) = 1 156 xy(x2 + y). (a) P(1 ≤ X ≤ 2 and 1 ≤ Y ≤ 2); (b) P(2 ≤ X ≤ 4 and 2 ≤ Y ≤ 4); (c) the c.d.f. of Y ; (d) the joint p.d.f. of X and Y ; (e) P(Y ≤ X). 4

Page 1 and 2: W4109: PROBABILITY & STATISTICAL IN
Page 3: 11. Let X and Y be random variables

W4109: PROBABILITY & STATISTICAL INFERENCE Fall 2008 ...

Create successful ePaper yourself

Delete template?

Save as template?