(15 pts) Suppose you have a die (6 faces) where pi) is the probability of the ith face landing "face-up." (a) (5 pts) Write R code to assign random probabilites to the 6 faces using runif, making sure p is a probability distribution. (b) (7 pts) Write R code to simulate the the rolling of the die 1000 times, keeping track of your answers in an array with 1000 values called "outcome." (c) (5 pts) Add code to display a table of the observed counts for the 6 different faces. (15 pts) Suppose you have a die (6 faces) where pi) is the probability of the ith face landing "face-up." (a) (5 pts) Write R code to assign random probabilites to the 6 faces using runif, making sure p is a probability distribution. (b) (7 pts) Write R code to simulate the the rolling of the die 1000 times, keeping track of your answers in an array with 1000 values called "outcome." (c) (5 pts) Add code to display a table of the observed counts for the 6 different faces