Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 45 times....

Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 45 times. What is the probability that the average transport time was greater than 30 minutes? Assume the mean time is measured to the nearest minute.