-y 0, fx,y (x, y) = 10, sonst. (i) Determine the value of the constant c. Hint: The integral of the density over all possible values of the random variable(s) is 1 (ii) Find the marginal densities fx and fy. (iii) Compute the expected value EX.

-y 0, fx,y (x, y) = 10, sonst. (i) Determine the value of the constant c. Hint: The integral of the density over all possible values of the random variable(s) is 1 (ii) Find the marginal densities fx and fy. (iii) Compute the expected value EX.

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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Exercise 43 Suppose the random variables X and Y have the joint density
Se. (y? – a2)e-",
-y <x <y and y > 0,
|
fx,y (x, y)
sonst.
(i) Determine the value of the constant c.
Hint: The integral of the density over all possible values of the random variable(s) is 1.
(ii) Find the marginal densities fx and fy.
(iii) Compute the expected value EX.

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