Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.05, 0.05, 0.45, and 0.45, respectively. (a) Calculate  E(X) and then E(5 − X). E(X) = E(5 − X) = (b) Would the repair facility be better off charging a flat fee of $110 or else the amount  $   150 (5 − X)  ?    Note: It is not generally true that E   c Y   =  c E(Y).   The repair facility     be better off charging a flat fee of $110 because  E   150 (5 − X)   =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 12ECP
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Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.05, 0.05, 0.45, and 0.45, respectively.
(a)
Calculate 
E(X) and then E(5 − X).
E(X)
=
E(5 − X)
=
(b)
Would the repair facility be better off charging a flat fee of $110 or else the amount 
$
 
150
(5 − X)
 
?
 
 
Note: It is not generally true that E
 
c
Y
 
 = 
c
E(Y)
.
 
The repair facility     be better off charging a flat fee of $110 because 
E
 
150
(5 − X)
 
 =  
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