According to the American Time Use Survey Americans age 15 and over spend an average of 2 69 hours each day watching television Assume the distribution of all such amounts of time spent watching television is normally distributed with a standard deviation of 1 15 hours Use this information to determine the following two probabilities Round solutions to four decimal places if necessary Find the probability that a single randomly American age 15 and over watches television more than 2 62 hours per day P x 2 62 Find the probability that the mean time spent watching television per day of a random sample of 47 Americans age 15 and over is more than 2 62 hours P Z 2 62