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(b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).

(b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 65E
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I need help with this parts b and c please

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.

 

Joint Probability Function X 0 1 2 0 0.13 0.06 0.07 y 1 0.04 0.24 0.13 2 0.04 0.03 0.26
Transcribed Image Text:Joint Probability Function X 0 1 2 0 0.13 0.06 0.07 y 1 0.04 0.24 0.13 2 0.04 0.03 0.26
(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).
Transcribed Image Text:(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).
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