Question 1(b) A coin is known to land heads with probability (p)

Question I(b) A coin is known to land heads with probability (p) < 1/6 . The coin is flipped N times for some even integer N. 1. Using Markov's inequality, provide a bound on the probability of observing N/ 3 or more heads. [3 Marks] 2. Using Chebyshev's inequality, provide a bound on the probability of observing N/3 or more heads. Express your answer in terms of N. [3 Marks] 3. For N e {3,6 30}, in a single plot, show the bounds from part (a) and (b), as well as the exact probability of observing N/ 3 or more heads. [Note: To demonstrate, you can choose any specific value of p < 1/6. Also, you can choose any plotting tool] [8 Marks]