A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by the accompanying table. Complete parts (a) through (c) below. Click the icon to view the joint probability function. (a) Give the marginal density of both X and Y as well as the probability distribution of X given Y = 2. Let g(x) be the marginal density of X and let h(y) be the marginal density of Y. Give the marginal density of both X and Y. X g(x) y h(y) 2 2 (Type integers or decimals. Do not round.)
A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by the accompanying table. Complete parts (a) through (c) below. Click the icon to view the joint probability function. (a) Give the marginal density of both X and Y as well as the probability distribution of X given Y = 2. Let g(x) be the marginal density of X and let h(y) be the marginal density of Y. Give the marginal density of both X and Y. X g(x) y h(y) 2 2 (Type integers or decimals. Do not round.)
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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Transcribed Image Text:Joint Probability Function
X
0
1
2
0.14
0.04
0.06
1
0.07
0.18
0.14
2
0.07
0.06
0.24
n
Transcribed Image Text:A convenience store has two separate locations where customers can be checked out as they leave. These locations
each have two cash registers and two employees who check out customers. Let X be the number of cash registers
being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint
probability function is given by the accompanying table. Complete parts (a) through (c) below.
Click the icon to view the joint probability function.
(a) Give the marginal density of both X and Y as well as the probability distribution of X given Y = 2.
Let g(x) be the marginal density of X and let h(y) be the marginal density of Y. Give the marginal density of both X and
Y.
X
g(x)
y
h(y)
1
2
2
(Type integers or decimals. Do not round.)
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