Exercise 1: You take your dog on a walk every morning. Assume that the lengths of your walks have mean 2.1 miles and standard deviation 0.2 miles. You can assume independence between different walks. a) [3 points] Consider a month with 31 days. What is the distribution of the 31 walks' average length? (Define shape and parameters). b) [4 points] Find the probability that the 31 walks' average length is between 2.06 miles and 2.15 miles. (Use the table and not your calculator to find the probability)