5. (12 points) Random guesses are made on a 24-question multiple choice test, with 5 choices for each question. You may use a graphing calculator. Write down the command you use for partial credit purposes. a) Find the probability of getting exactly 2 correct answers. b) Find the probability of getting 2 or fewer correct answers. c) Find the probability of getting 3 or more correct answers. 6. (8 points) Show all of your work below for this problem. a) Find the mean of the probability distribution, rounded to the first decimal place. Mean = b) Find the standard deviation of the probability distribution, rounded to the first decimal place. Standard Deviation = P(x 0 0.6 0.1 3 0.3