Baseball Game Length.Baseball has long been America's past time, but the appeal of the game seemsto be fading away. One of the reasons is the length of games seems to be growing over time. In2017, the average length of Major League Baseball games was 185 minutes with a standard deviation of24 minutes. The distribution of length of Major League Baseball games is known to be skewed.

Assuming that it is possible, find the probability that the average of the game lengths with n= 144 is less than 3 hours. (Report your answer to 4 decimal places.)