Independent random samples of sizes n1 = 30 and n2 = 50 are taken from two normal populations having the means µ1 = 78 and µ2 = 75 and the variances σ21 = 150 and σ22 = 200. Use the results of Exercise 8.3 to find the probability that the mean of the first sample will exceed that of the second sample by at least 4.8.
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