Answer with detailed explanation

The standard deviation for the difference between the observed and actual arrival times of StarMetro busses is 3.031. Suppose that you randomly observed 17 bus arrivals at different stations across Tallahassee. You then compute the sample mean of these observations. What is the probability that the sample mean of the 17 recorded differences between actual bus arrivals and scheduled bus arrival times is greater than 3 minutes late (round to three decimal places)?