using R studio code

The Assignment: Use the example code and instructions given above in conjunction your knowledge of discrete probability distributions to answer the following questions using R. Complete this entire assignment before taking the corresponding lab quiz in canvas. You may work with others in the class or may receive help from the TA or instructor. A local PTA is running a fundraiser using a casino style game where a player rolls two six-sided dice. The game costs $10 to play. If the player rolls double ones, the game pays out $50 (net profit of -$40 to the PTA). If the sum of the two dice adds to eleven, the game pays out $40. If the player rolls any other doubles (2 through 6), the game pays out $20. If the two dice add to seven, the game pays out $15. Let the random variable X represent the net profit to the PTA for each play. Create a discrete probability distribution for X in table form and manually enter your random variable X and respective probability vector P into R. Remember that your probabilities should add up to one. X P(X = x) 1. What are the lines of code you used in R to define your discrete probability distribution vectors? 2. What is the expected profit (expected value) to the PTA for each game played (rounded to two decimal places)? 3. What is the variance of your discrete probability distribution (rounded to two decimal places)? 4. What is the standard deviation of your discrete probability distribution (rounded to two decimal places)? 5. If the PTA has 500 players during the fundraiser, what is the expected profit for the event (rounded to two decimal places)