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It is known that the A-scores follow exponential distribution with parameter 50 and B-scores follow chi-square distribution with parameter 40. Compute the probability that the

It is known that the A-scores follow exponential distribution with parameter 50 and B-scores follow chi-square distribution with parameter 40. Compute the probability that the average A-score (based on a random sample of size 100) is at least as large as the average B-score (based on a random sample of size 400). Assume that A-scores and B-scores are independent.


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