Question: Exercise 8.21 Use Chebyshevs inequality to show that the probability that in n throws of a fair die the number of sixes lies between 1

Exercise 8.21 Use Chebyshev’s inequality to show that the probability that in n throws of a fair die the number of sixes lies between 1 6 n − √n and 1 6n + √n is at least 31 36 .

Exercise 8.22 Show that if Zn → Z in probability then, as n → ∞, aZn + b →aZ + b in probability

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