please send me answer in type form strictly prohibited handwritten solution don't use chatgpt Or copied content.

13. A drunkard executes a "random walk" in the following way: Each minute he takes a step north or south, with probability 1/2 each, and his successive step directions are independent. His step length is 50cm. Use the central limit theorem to approximate the probability distribution of his location after 1h.

a) Where is he most likely to be?

b) under the assumption that the drunkard has some idea of where he wants to go so that he steps north with probability 2/3 and south with probability 1/3

c)explain how you could use simulation to estimate the probability distribution of the drunkard's location after one hour. by Using R to conduct the simulation

only need to answer question c