I need help with this: 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. (a) Give the marginal density of b oth X and Y as well as the probability distribution of X given Y = 2. (b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).
I need help with this: 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. (a) Give the marginal density of b oth X and Y as well as the probability distribution of X given Y = 2. (b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with this:
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
(a) Give the marginal density of b oth X and Y as well
as the probability distribution of X given Y = 2.
(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
g(x)
y
h(y)
0
0.22
X
f(x|2)
1
0.34
0
0.25
2
0.34
(Type integers or decimals. Do not round.)
1
0.41
2
0.44
Give the probability distribution of X given Y = 2.
0
1
(Simplify your answers.)
2
Transcribed Image Text:Joint Probability Function
X
0
710
1
2
0
0.12
0.07
0.06
y
1
0.05
0.24
0.12
2
0.05
0.03
0.26
0
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