6. (i) Let X(t) :=xt to Be, and let T be the first time X(t) hits the line b + ct; here b. o > 0 and u > c are all given
Posted: Wed May 11, 2022 4:23 pm
6. (i) Let X(t) :=xt to Be, and let T be the first time X(t) hits the line b + ct; here b. o > 0 and u > c are all given constants. Derive E(T) and Var(T). (ii) If y se what is E(T)? What is the probability that X(t) will ever hit the line b+ct? Explain? For both (i) and (ii), you can directly quote and use known results from class and homework) without derivation, but do specify what martingale is needed to get the result.