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Please answer the following question with steps, thank you A coin is known to land heads with probability (p) A coin is known to land
Please answer the following question with steps, thank you
A coin is known to land heads with probability (p) < 1/4 . The coin is flipped N times for some even integer N. l. Using Markov's inequality, provide a bound on the probability of observing N /2 or more heads. [5 Marks] II. Using Chebyshev's inequality, provide a bound on the probability of observing N/2 or more heads. Express your answer in terms of N. [5 Marks] 111. For N {2,4, ... , 20}, in a single plot, show the bounds from part (a) and (b), as well as the exact probability of observing N /2 or more heads. [Note: To demonstrate, you can choose any specific value of p < 1/4 ] [10 Marks]
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