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bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
2.132 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
                  y                Â
   x       0         1         2   Â
Â
|
0 |
0.12 |
0.04 |
0.04 |
|
1 |
0.08 |
0.19 |
0.05 |
|
2 |
0.06 |
0.12 |
0.30 |
(a)  Give the marginal density of both 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).
Â
f (x) =
Â
(4)(503 ) (50
Â
− x  ),   −50 ≤ x ≤ 50,
Â
Â
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