a) Calculate the relative frequency h (N) of getting head as function of the random trials...

 

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a) Calculate the relative frequency h (N) of getting head as function of the random trials N-10,100,1000, and 10000 b) Plot the relative frequency of getting head as function of 'N for the for values estimate under a). Use circles as symbols and denote the x-axis by N and the y-axis by h_tail (N). c) Calculate the probabilities for sufficiently large N of getting tail via Part - 1-Phead Problem 2: (Random Experiment 2- Rolling dice) Consider a fair die having six sides with numbers 1, 2, 3, 4, 5, and 6. A fair die means that all six possible outcomes are equally likely. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6 and so on for 3, 4, 5, and 6. To test this, we would like to determine the probability of a dice roll. a) Generate a random sequence having N-1000 values. Calculate the relative frequencies for rolling a / via h/(N)-N/N, the relative frequencies for rolling a 2 via h₂(N)-N₂/N as well as hi(N)-Ny/N, ha(N)=N/N. hs(N)=N/N, and he(N)-No/N Example python script for tossing a choin: from random import randrange, seed N=10 seed(42) n_list- for i in range(N): x=randrange (2) n_list.append(x) count 0 a) Calculate the relative frequency h (N) of getting head as function of the random trials N-10,100,1000, and 10000 b) Plot the relative frequency of getting head as function of 'N for the for values estimate under a). Use circles as symbols and denote the x-axis by N and the y-axis by h_tail (N). c) Calculate the probabilities for sufficiently large N of getting tail via Part - 1-Phead Problem 2: (Random Experiment 2- Rolling dice) Consider a fair die having six sides with numbers 1, 2, 3, 4, 5, and 6. A fair die means that all six possible outcomes are equally likely. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6 and so on for 3, 4, 5, and 6. To test this, we would like to determine the probability of a dice roll. a) Generate a random sequence having N-1000 values. Calculate the relative frequencies for rolling a / via h/(N)-N/N, the relative frequencies for rolling a 2 via h₂(N)-N₂/N as well as hi(N)-Ny/N, ha(N)=N/N. hs(N)=N/N, and he(N)-No/N Example python script for tossing a choin: from random import randrange, seed N=10 seed(42) n_list- for i in range(N): x=randrange (2) n_list.append(x) count 0

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To calculate the relative frequency of getting heads in a series of random trials you can use the following steps Step 1 Initialize the variables make... View the full answer