Shaurya was given the probability density function f(x)= 1/24 x over the interval[1,7] . Using this information, answer the following question, then find the expected value. a) Question: In the context of probability distributions, are the terms "mean" and "expected value" synonyms? No, they are not synonyms. Yes, they are synonyms. b) Expected value: Round your answer to 3 decimals, if needed