Question 5: (Bicycle race) In a bicycle race between two competitors, let Y(t) denote the amount of time (in seconds) by

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Question 5 Bicycle Race In A Bicycle Race Between Two Competitors Let Y T Denote The Amount Of Time In Seconds By 1 (24.21 KiB) Viewed 54 times

Question 5: (Bicycle race) In a bicycle race between two competitors, let Y(t) denote the amount of time (in seconds) by which the racer that started in the inside position is ahead when 100 percent of the race has been completed, and suppose that (Y(),2 O) can be effectively modeled as a standard Brownian motion process, 1. Write the definition of a standard Brownian motion. 2. What is the distribution of y(t) - Y(s)? 3. If the inside racer is leading by 1 seconds at the midpoint of the race, calculate P(Y(1) >01Y() = 1) the probability that she is the winner?