using MatLab. Thank you.

Suppose that the final grade distribution of our class follows the normal distribution: exp where x is the grade, xm is the average grade, and is the standard deviation. Note that the distribution function is normalized such that If(xlxm,dx=1 when (x", , )-(80,6), (75,7), (70,8), (65,9) and (60,10), draw the 5 plots in a graph using a "for" loop and "fplot" within the range of 03x 3 100. Use the colors red, green, blue, magenta, and black for each plot, respectively, and make a legend. Note that, in these 5 cases, the normal distribution is narrow enough that the number of the students whose grades are below 0 or above 100 can be regarded as 0. Your script file name is HW5_1_YourLastName.m In each of the 5 cases, find the percentage of the students whose grades are above 75, using a "for" loop. The full point is 100. Your script file name is HW5_2_YourLastName.m. (Hint: calculate 1, 2. 100 dx 100 in each case.) 75 In each of the 5 cases, find the grade above which 80% of the students are populated, using a "for" loop. Your script file name is HW5 3 YourLastName.m. (Hint: solve 3. 1100min,f(x | xm, dx 100 80 in each case.)