Problem 2 The Normal distribution will become very important in the upcoming modules, so it's a good idea to review it now, and make sure we understand it before moving fonrvard. As well, we can also review R's distribution functions. Part A) Suppose X ~ N(10, 4). What is P(X 5 9)? Save your answer as p2 . CDF and round your answer to two decimal places. Part B) Given the same X as in Part A. what is the value k such that P(X S k) = 0.75? Save your answer as p2 . invCDF and round your answer to two decimal places. Part C) Convert X to a standard normal random variable Z ~ N (O, 1) and calculate the values for Part A and Part B again, but using the transformed random variable. Save your answers as p2 . c . CDF and p2 . c . invCDF and round your answers to two decimal places. What do you notice? Note that transforming X will also transform the values within each equality. That is, the 9 from Part A will be transformed to y, and you must solve for P(Z S y). Likewise, the k from Part B will be transformed to f, and you must solve for f such that P(Z S I?) = 0.75