We programmed a robot to reach the center of the maze. From the arrow, he chooses at random whenever a choice situation arises and never takes the same route again, except when he arrives at a dead end. If he doesn't make a mistake, he can reach the center in 50 seconds. Each error results in a delay of 12 seconds.

a) what is the probability that it will reach the center in 88.4 seconds or less

b) Let Y be the time to reach the center.

Determine E [Y]

c) what is the standard deviation of Y