Suppose that X and Y have joint density function fx,y given by fx.y(x, y) = ce-||-|y| се where c is a constant. a) Find fx,y (x, y) for all cases of values of x and y (for example, when x, y > 0, when x > 0 but y < 0, etc.). b) Find c.
Suppose that X and Y have joint density function fx,y given by fx.y(x, y) = ce-||-|y| се where c is a constant. a) Find fx,y (x, y) for all cases of values of x and y (for example, when x, y > 0, when x > 0 but y < 0, etc.). b) Find c.
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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help with part b
Transcribed Image Text:Suppose that X and Y have joint density function fx.y given by
ƒx,x(x, y) = ce¯\x|-|y|
where c is a constant.
a) Find fx,y (x, y) for all cases of values of x and y (for example, when
x, y > 0, when x > 0 but y < 0, etc.).
b) Find c.
c) Find the probability that P(-1 < X < 2 and 3 < Y < 4).
d) Find the marginal densities fx and fy.
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