Question: URGENT!!!!! PLEASE ANSWER THE FULL QUESTION AND PROVIDE VALID SOLUTION ILL DO UPVOTE Check whether the following processes are a Brownian motion using the alternative

URGENT!!!!! PLEASE ANSWER THE FULL QUESTION AND PROVIDE VALID SOLUTION ILL DO UPVOTE

Check whether the following processes are a Brownian motion using the alternative definition: (a) Symmetry: B = -wt then {B: t [0, 1]} is a Brownian motion (b) Time reversal B= w - W-t is a Brownian motion on [0, 1] (c) Scalling B=cW2/2 for c> 0 is a Brownian motion on [0, 1] (d) Time inversion B = tW/t is a Brownian motion on [0, 1]

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