Problem 2: (6 pts each) Let ff. denote the pdf of the Student [(11] distribution (with in degrees of 'eedoni). (a) Write an R function vrfxm} that returns the sequence (vector) {x), 130:}, -..,,(x). [13) Write a function durum} that returns the sequence x} (x),x) -f2{x}, ..-,x) f,,(x), where f is the pdf of the standard normal distribution. You can use the function from part (a) if you nd it useful. (c) Calculate doth, 80) for three values of x of your choice? What do you observe