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 2 0 0.12 0.04 0.04 1 0.08 0.19 0.05 2 0.06 0.12 0.30 Give the marginal density of both X and Y as well as the probability distribution of X given Y= 2. Give E(X) and Var(X). Give E(X| Y= 2)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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
0 0.12 0.04 0.04
0.08 0.19 0.05
2 0.06 0.12 0.30
Give the marginal density of both X and Y as well as the probability distribution of X given Y= 2.
Give E(X) and Var(X).
Give E(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 0 0.12 0.04 0.04 0.08 0.19 0.05 2 0.06 0.12 0.30 Give the marginal density of both X and Y as well as the probability distribution of X given Y= 2. Give E(X) and Var(X). Give E(X| Y= 2)
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