Question: At even time instants, a robot moves either + cm or - cm in the r-direction according to the outcome of a coin flip; at

At even time instants, a robot moves either + cm or - cm in the r-direction according to the outcome of a coin flip; at odd time instants, a robot moves similarly according to another coin flip in the y-direction. Assuming that the robot begins at the origin, let X and Y be the coordinates of the location of the robot after 2n time instants. (a) Describe the underlying space ? of this random experiment and show the mapping from ? to Oxy, the range of the pair (X, Y). (b) Find the marginal pmf of the coordinates X and Y. (c) Find the probability that the robot is within distance v24 of the origin after 2n time instants

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