Simulate 200 coin-flip experiments with success parameter p = 1/4, and compute the average number of successes ^p, together with an approximate 95% conβdence interval

where zq is the q-th quantile of a standard normal variate. Repeat the experiment 10^{4 }times, and plot the approximate conβdence intervals for each experiment, together with a line showing the true success parameter. Calculate the proportion of the 10^{4} repeated experiments that contain the true success parameter, and comment. Supply your code.

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