. = : : 2 . Tanner was given the probability density function f(z) = 5 T over the interval [2, 7]. Using this information, answer the following question, then find the expected values, and the variance. a) Question: In the context of probability distributions, are the terms "mean\" and "expected value\" synonyms? O Yes, they are synonyms. O No, they are not synonyms. b) Expected value: E(X) = | 'Round your answer to 3 decimals; if needed. c) Expected value of X*: E(X?) =| | Round your answer to 3 decimals, if needed. | ] d) Variance: I 'Use either exact answers from previous parts or your rounded values to determine the variance. Round your answer to 3 decimals, if needed