Using an appropriate randomization device (such as atetrahedral die, one having four sides), Claudius firstmoves to one of the four locations B1, B2, B3, B4. Once atone of these locations, another randomization device isused to decide whether Claudius next returns to 0 or nextvisits one of the other two adjacent points. This processthen continues; after each move, another move to oneof the (new) adjacent points is determined by tossing anappropriate die or coin.a. Let X 5 the number of moves that Claudius makesbefore first returning to 0. What are possible valuesof X? Is X discrete or continuous?b. If moves are allowed also along the diagonal pathsconnecting 0 to A1, A2, A3, and A4, respectively,answer the questions in part (a).
Using an appropriate randomization device (such as a
tetrahedral die, one having four sides), Claudius first
moves to one of the four locations B1, B2, B3, B4. Once at
one of these locations, another randomization device is
used to decide whether Claudius next returns to 0 or next
visits one of the other two adjacent points. This process
then continues; after each move, another move to one
of the (new) adjacent points is determined by tossing an
appropriate die or coin.
a. Let X 5 the number of moves that Claudius makes
before first returning to 0. What are possible values
of X? Is X discrete or continuous?
b. If moves are allowed also along the diagonal paths
connecting 0 to A1, A2, A3, and A4, respectively,
answer the questions in part (a).
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