Please provide step by step solution for the below:

Question 2: [10 marks] Kohl's is running a sale in which customers may save as much as 40% on any purchase. Once a customer decides to make a purchase, he or she selects two sales prize tickets at random from a large bin placed at the front of the store. Each ticket has a percentage marked on it, and the probability of selecting each ticket is given in the table. ---m _IE-IEEEI The larger of the two percentages selected is used for the purchase. a. [5 marks] Let X be the maximum of the two prize ticket percentages. Find the probability distribution for X. Show your work on how you found the probability for each value of x e X b. [3 marks, 1 each] Find the mean, variance, and standard deviation of X. c. [2 marks] What is the probability that a customer will receive at least 20% off on his or her purchase