Solve for only option D and E Bf(x) = { ra+1elsewith parameters a > 0 and 3 > 0. We observe a sample {3,4, 8}. Which of the following statements are correct?a) The expected value of X exists for...

Solve for only option D and E

Extracted text: Question 35. Let X be a random variable defined by the density function , if x > B f(x) = { ra+1 else with parameters a > 0 and 3 > 0. We observe a sample {3,4, 8}. Which of the following statements are correct? a) The expected value of X exists for all combinations of a and B. b) The expected value does only depend on a, but not on B. c) Given the sample, B can not be larger than 3. 5 d) If we assume B = 2, the estimation of the expected value from the sample mean leads to an estimate of- for a. e) is also the maximum likelihood estimate of a in this case.