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X is the number of heads in 100 flips of a coin. Each coin has Pr[H]=0.1

Find Pr[X >= 30]

Markov equation: Pr[x >= a] < E[X]/a

E[x] = 100*0.1 = 10 a = 30 Pr[x >= 30] < 10/30 = 1/3

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