5. Suppose a particular Stanford student decides to walk from her home to the bookstore. The bookstore is located exactly 10 blocks east and 7 blocks north of her home (see the map below): NOHh Bookstore T III-III..- Home 10 East The student decides to conduct an experiment with her new-found probabilistic knowledge of Econ 102A. Specically, at every block, the student will only walk either due north or due east starting from her home. At every block there is a 60% chance the student will walk east and a 40% chance the student will walk north. (As you can see from the map, all streets are in a grid, running either North-South or East-West.) (a) If the student successfully reaches the bookstore, how many blocks must the student walk in total? How many blocks must the student walk east? How many blocks must the student walk north? (b) Determine the probability the student will reach the bookstore