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 0 1 2 g(x) y h(y) 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 0 1 2 g(x) y h(y) 2 (Type integers or decimals. Do not round.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
Question
I need help with this parts a through c
b) Give E(X) and Var(X)
c) Give E(X|Y = 2) and Var(X|Y = 2)
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
0
1
2
g(x)
y
h(y)
2
(Type integers or decimals. Do not round.)
Transcribed Image Text:Joint Probability Function
n
x
0
1
2
0
0.14
0.03
0.03
1
0.06
0.17
0.02
2
0.08
0.14
0.33
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