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. 31 I 51 (Simplify your answers.) (b) Give E(X) and Var(X). E(X)= 1.16 (Type an integer or a decimal. Round to two decimal places as needed.) 31 Var(X) = 0.6944 (Type an integer or a decimal. Round to four decimal places as needed.) (c) Give E(XIY =2) and Var(XIY=2). 54 E(XIY=2)= 37 (Simplify your answer.) Var(XIY=2)= (Simplify your answer.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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I need help with part c last question. I got 48/37  for var (X|Y = 2) in the end but it's incorrect.

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.
31
| S
(Simplify your answers.)
(b) Give E(X) and Var(X).
E(X)= 1.16
(Type an integer or a decimal. Round to two decimal places as needed.)
Var(X) = 0.6944
(Type an integer or a decimal. Round to four decimal places as needed.)
(c) Give E(XIY =2) and Var(XIY = 2).
54
E(XIY=2)=
37
(Simplify your answer.)
Var(XIY=2)=
(Simplify your answer.)
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. 31 | S (Simplify your answers.) (b) Give E(X) and Var(X). E(X)= 1.16 (Type an integer or a decimal. Round to two decimal places as needed.) Var(X) = 0.6944 (Type an integer or a decimal. Round to four decimal places as needed.) (c) Give E(XIY =2) and Var(XIY = 2). 54 E(XIY=2)= 37 (Simplify your answer.) Var(XIY=2)= (Simplify your answer.)
Joint Probability Function
X
0
1
2
0
0.14
0.04
0.06
y
1
0.07
0.18
0.14
2
0.07
0.06
0.24
n
X
Transcribed Image Text:Joint Probability Function X 0 1 2 0 0.14 0.04 0.06 y 1 0.07 0.18 0.14 2 0.07 0.06 0.24 n X
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