' Question 4 E1 4 pts '9 1 (3' Details The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 13D, while the mean score was as and the standard deviation was 11. Use the empirical rule to answer the following questions: 43 54 55 ?' 3? 93 I If)? Distribution. of Test Scores {1 1. What is the approximate percentage students who scored between 155 and 3? on the test? Fr 2. What is the approximate percentage of students who scored higher than 109 on the test?I I I'l- 3. What is the approximate percentage of students who scored between 3'6 and ET on the test? I I'l- 4. What is the approximate percentage of students who scored between 54 and 93 on the test? In . . Question 3 ET 4 pts '9 1 G) Details 3 Given the probability density function f[.'c) = zz over the interval [4, ti], answer the following question, then find the expected value, the mean, the variance and the standard deviation. a] Question: In the context of probability distributions, are the terms "mean" and "expected value\" synonyms? D Yes, they are synonyms. O No, they are not synonyms. b] Expected value: Elm = Round your answer to 3 decimals. c] Expected value of X2: E(X2) = your answer to 3 decimals. Enter an int :- orderimalnuTlJer more" d} Variance: Use either exact answers from previous parts or your rounded values to determine the variance. Round your answer to 3 decimals