Attempt all questions as per rubric. Weightage for each problem including case study is 10 marks. The maximum you can score is 50. Use Excel function wherever possible. Problem-1 The following table provides a probability distribution for the random variable x. x f(x) 2 0.20 4 0.30 7 0.40 8 0.10 a) Compute Expected value E(x). b) Compute Variance ( 2 ) and Standard Deviation ()