The daily price Yn of a certain stock is modeled by the relation where Xk are independent identically distributed standard normal random variables. Suppose that the current stock price is $100. Compute the probability that the price will exceed $105 after 10 days.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.