Q.....Grade point averages of math majors at a large distance educationuniversity are normally distributed with a mean of2.85and a standarddeviation of0.30. If a random sample of 25 math majors is selectedfrom that university, what is theprobability that the sample mean gradepoint average will be

a.either less than 2.709 or more than 2.955?......6 marks

Note....Please show your work, and also draw the normal distribution curve to plot the required values of x-bar,values of z,and shade the required probability area/s.