5.2 Analyzing Discrete Random Variables Practice Worksheet Use proper notation and show work. Your answer should be rounded to 3 decimal places. How much do grades vary? In Lesson 5.1, we discussed how Indiana University Bloomington posts the grade distributions for its courses online. In a recent semester of a Business Statistics course, 45.7% of students received A's, 36.2% received B's, 13.8% received C's, 3.2% received D's, and 1.1% received F's A student is chosen at random. The grade on a 4-point scale (with A = 4, B = 3, and so on) is a random variable X. 1) Fill in the probability distribution below with the appropriate values. Grade A B C D F Grade Point (X) Probability P(X) 2) Make a histogram of the probability distribution. 3) Describe the shape of the probability distribution. 4) Find the expected value and standard deviation of X