2. (12 points) Suppose the distribution of test scores in a statistics class is unimodal and symmetric with mean 78 points and standard deviation 5.4 points. Use the Empirical Rule to answer the following (a) What percentage of students had a score between 67.2 and 88.8? (b) What percentage of students scored less than 67.2 points? 3. (8 points) Suppose A and B are two events such that P(A) = 0.35, P(B) = 0.8, and P(AU B) = 0.6. Find P(An B). 4. (16 points) In a calculus class of 10 students, the exam scores are the following in increasing order: 35, 69, 70, 75, 81, 83, 90, 94, 96, 96 Find the following values: (a) (2pts) Mean (e) (2pts) Q3 (b) (2pts) Median (f) (2pts) IQR (c) (2pts) Mode (g) (4pts) Are there any outlier(s)? Justify your (d) (2pts) Q1