Question: Find the specified probability, from a table of Normal probabilities.

The number of hours per week that high school seniors spend on homework is normally distributed, with a mean of 10 hours and a standard deviation of 3 hours. 60 students are chosen at random. Let \(\bar{Y}\) represent the mean number of hours spent on homework for this group. Find the probability that \(\bar{Y}\) is between 9.8 and 10.4.