The Number of Hours Per Week That High School Students $\overline{ y}$

Multiple Choice

The number of hours per week that high school students spend on computers is normally distributed,with a mean of 5 hours and a standard deviation of 2 hours.70 students are chosen at random.Let $\overline{ y}$ represent the mean number of hours spent on the computer for this group.Find the probability that $\overline{ y}$ is between 5.1 and 5.7.

A) 0.672
B) 0.660
C) 0.115
D) 0.336
E) 2.510