According to Chebyshev's theorem, the probability that any rand... | Filo

Practice Using Chebyshev's Inequality

Use Chebyshev's theorem and Theorem 3 to verify that the probability is at least (35)/(36) that(a) in 900 flips of a balanced coin the proportion of heads will be between 0.40 and 0.60;(b) in 10,000 flips of a balanced coin the proportion of heads will be between 0.47 and 0.53;(c) in 1,000,000 flips of a balanced coin the proportion of heads will be between 0.497 and 0.503.Note that this serves to illustrate the law of large numbers.

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