Help with Stats

1 1v'ioleta was given the probability density function at} in: over the interval [1, 1']. 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? Ci- No, they are not synonyms. Ci- Yes, they are synonyms. b} Expected value: E(X} Round your answer to 3 decimals, if needed. c} Expected value of X2: E {X 2} Round your answer to 3 decimals, if needed. d} "v'ariance: Use either exact answers from previous parts or your rounded values to determine the variance. Round your answer to 3 decimals, if needed. When showing work, you must show at least the starting point and the end point