Solution of problem N31 probability theory

Solution of problem N31 probability theory

31. As a result of 300 independent tests, the values of the random variable x1, x2, ..., x300 are found, with the variance of the random variable equal to its mathematical expectation and equal to four. To estimate from above the probability that the absolute value of the difference between the mean of the values of a random variable and the mathematical expectation is less than 1/6

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)