fx,y(x, y) = 7e- if x, y ≥ 0 otherwise (a) Verify that fx,y is indeed a probability density function. (b) Find the marginal probability density function fx and state the name of the distribution of X.
fx,y(x, y) = 7e- if x, y ≥ 0 otherwise (a) Verify that fx,y is indeed a probability density function. (b) Find the marginal probability density function fx and state the name of the distribution of X.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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a and b please
![Question 1
function given by
Suppose that X and Y have a joint probability density
if x, y ≥ 0
otherwise
fx.x (x, y)
7e-z-7y
(a) Verify that fx,y is indeed a probability density function.
(b) Find the marginal probability density function fx and state the name of the
distribution of X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33cd9d9d-1dc7-4159-8d0c-4718c06472ec%2Fefb73484-5e10-42b8-811b-17cd976de15f%2Fm9zyamm_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1
function given by
Suppose that X and Y have a joint probability density
if x, y ≥ 0
otherwise
fx.x (x, y)
7e-z-7y
(a) Verify that fx,y is indeed a probability density function.
(b) Find the marginal probability density function fx and state the name of the
distribution of X.
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