(Solution) - a Find the mean and variance in Exercise 5 65 of -(2025 Original AI-Free Solution)

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(a) Find the mean and variance in Exercise 5.65 of the random variable X representing the number of persons among 10,000 who make an error in preparing their income tax returns.
(b) According to Chebyshev's theorem, there is a probability of at least 8/9 that the number of persons who make errors in preparing their income tax returns among 10,000 returns will be within what interval?