Suppose that the time for a hiker to walk a particular foothills trail follows a normal distribution, with mean of 49 minutes and standard deviation of 30 minutes. For a randomly selected day, what is the chance that the hiking time is (round all answers to four decimal places.)

(a) Less than 16 minutes. P = (b) Greater than 76 minutes. P = (c) Between 16 and 76 minutes. P = Suppose that this hiker records hiking data for 110 hikes on this trail. What is the chance that the average of the 110 hiking times is less than 16 minutes? Round to 4 decimal places?