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ANX Pel0 Statistical Analysis Note: Attempt all questions and case study as per rubric. Problems are 10 marks each. Maximum you can score is 60. Problem-1 The following table provides a probability distribution for the random variable x. х f(x) 2 0.20 4 0.30 7 0.40 8 0.10 a) Compute Expected value E(X). b) Compute Variance (62) and Standard Deviation (6). Problem-2 Twenty-three percent of automobiles are not covered by insurance (CNN, February 23, 2006). On a particular weekend, 35 automobiles are involved in traffic accidents. a) What is the probability of 5 automobiles involved in traffic accidents but not covered by insurance? (Write Excel function) b) What is the probability of at least 10 automobiles involved in traffic accidents but not covered by insurance? (Write Excel function) c) What is the probability of at most 11 automobiles involved in traffic accidents but not covered by insurance? (Write Excel function) d) What is the expected number of these automobiles that are not covered by insurance? e) What are the variance and standard deviation?