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simulates the random experiment of tossing a fair dice over in trials. rl'he output of the function will be both the outcomes of the in trials and the relative frequency estimate of the outcome \"4\" in the experiment. given by: TI. min] = f = ZAz-(w), where 714 is the number of times the outcome \"4" show-up in n tosses of the dice and AS) (w) is the indicator function of the outcome \"4\" on the i-th toss of the dice given by: 1 w\") = 4 Adam) i { 0 otherwise Modes of Convergence Show that this relative frequency estimator converges in the following senses: 1. mean-square sense to the value Pr(4) = g 2. converges in probability to the value %. l 3. converges in distribution to the value 6