I am confused how to approach this problem. Could you provide steps to arrive at the solution?

4. Suppose X, " N(u, 1), i = 1, . .., n. If u = 2 and n = 100, which of the following plots shows the pdf of the random variable Y = V100(/0100 - /) where #10o = X100 = >fl Xi/100? (Each of the plots in problems 4 and 5 are pdf's.) 4- 3 0- -4 -2 2 0.4 - 0.3- 2 0.2- 0.1 - 0.0 - -2 0.4 - 0.3- 2 0.2- () 0.1 - 0.0- -A -2