Exercise 3 (2 x 12.5 points) Make yourself familiar with the multinomial distribution a. Each trial involves throwing a die with 10 faces/sides. All faces are equally probable aka the die is not biased. Calculate the probability of the counts of outcome "2" if we performed n = 1000 trials. b. Simulate n independent trials of the multinoulli (categorical distribution) compliant to the specification of (a). Plot the probability in (a) as a function of n independent trials (n=10-1000). Write your conclusions with respect to the behavior of the estimated probability as n increases. NOTE: Submit this exercise in a colab notebook with permissions set to the professor and grader to be able to view