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# Let x represent the number of tails when a fair coin is flipped 100 times. a) Compute the distribution of x and represent it

## Let x represent the number of tails when a fair coin is flipped 100 times. a) Compute the distribution of x and represent it using a bar plot. b) Calculate the mean (expected value) and the standard deviation of x. c) Determine the probability that x is between: The mean +/- 1 standard deviation The mean +/- 2 standard deviations The mean +/- 3 standard deviations Question2 (3 marks): Let x represent the number of tails when a fair coin is flipped 1000 times. a) Run 10000 simulations of 1000 flips of a fair coin and count the number of tails for each simulation. b) Use the simulations to estimate the mean (expected value) and the standard deviation of x. c) Use the simulations to estimate the probability that x is between: The mean +/- 1 standard deviation . The mean +/- 2 standard deviations The mean +/- 3 standard deviations

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