Consider two service elevators used in parallel by employees of a three story hotel building At any point in time when both elevators are stationary, let X1 and X2 be the floor numbers at which elevators 1 and 2, respectively, are currently located The file S04 33 xlsx contains the joint probability distribution of X1 and X2 a Are X1 and X2 independent random variables Explain your answer b If X1 and X2 are not independent random variables, which joint probabilities result in the same marginal probabilities for X1 and X2 as given in this file but make X1 and X2 independent

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Question: Consider two service elevators used in parallel by employees of a three-story hotel building. At any point in time when both elevators are stationary, let

Consider two service elevators used in parallel by employees of a three-story hotel building. At any point in time when both elevators are stationary, let X1 and X2 be the floor numbers at which elevators 1 and 2, respectively, are currently located. The file S04_33.xlsx contains the joint probability of X1 and X2.
a. Are X1 and X2 independent random variables? Explain your answer.
b. If X1 and X2 are not independent random variables, which joint probabilities result in the same marginal probabilities for X1 and X2 as given in this file but make X1 and X2 independent?

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