Finally, turn in the required graphical or numerical results for simulation problems 1) through 4). 1) Generate a probability histogram of the number of rolls required of two dice before a sum of "7" appears (graphical answer followed by Matlab code). Note: Don't plot experiment that took more than 60 rolls. 2) Generate an unfair six-sided die. The die has sixe sides [1, 2, 3, 4, 5, 6] with probabilities: [P, P2, P3, P4, Ps, P6] = [0.1,0.15.0.3, 0.25, 0.05, 0.15]. Simulating the roll of the die for N= 10,000 times, and plot the PMF of your unfair die as stem plot. The stem plot should verify that the six sides of your unfair die follow the required probabilities. 3) When 100 coins are tossed find the probability that exactly 35 will be heads (numerical answer followed by Matlab code), assuming the number of experiments is 100000. 4)Determine the probability of "4 of a kind" in a 6-card poker draw (numerical answer followed by Matlab code).