G consider the random walk on the 5-cycle. That is Ω = {1, 2, 3, 4, 5} and the transition probability matrix is 0 1 0 0 1 22 1 0 1 0 0 2 1 2 1  P =0 0 0. 2121 0 0 2 0 2 12 0 0 21 0 (a) Let τ1 denote the hitting time of the state 1. Let fk = Ek(τ1). Note that f1 = 0. Write down a recursive equation for {fk, k = 1,2,...,5}. (b) Solve the above recursion to get a formula for fk. (c) Now let τ denote the hitting time of {3,4}. Find P1(Xτ = 3) and E1(τ) by using known formulas about simple symmetric random walk on the integers.

Which expression gives you the distance between the points (5,1)and(9,-6)

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50.

If its non of them tell me..valerie took a day-trip. she drove from her house for a while and took a coffee break. after her coffee break, she continued driving. after  2  hours of driving after her coffee break, her distance from her house was  210  miles. her average speed during the whole trip was  60  miles per hour.valerie created the equation  y−210=60(x−2)  to represent this situation, where  xx  represents the time in hours from her coffee break and  yy  represents the distance in miles from her house.which graph correctly represents valerie's distance from her house after her coffee break?