Extra Problems Example 1
Extra Problems
Example 1
Side note:
Example 2
Example 3
Example 4
Example 5 (from Dekking)
Example 4
Example 5 (from Dekking) For random variables X and Y shown in table below, E[XY] is computed as shown.
Example 6 (from Dekking) Suppose X and Y have the the following joint
…. Compute this (ans: 187/2025)
MARKOV AND CHEBYSHEV Example 7
Example 8
Example 9 (10.2 from Dekking) Consider two random variables X and Y with the following joint distribution
A. Determine E[XY] B. Are X and Y independent? Why? C. Are X and Y correlated? Why? D. Determine Var(X + Y). E. Determine Var(X - Y).
Solution:
Example 10 (10.3 from Dekking)
Solution:
Example 11.
Example 12.