Exercise 3 (2 x 12.5 points) Make yourself familiar with the muitinomial distribution a. Calculate the probability of the counts of outcome "2" if the possible equally probable outcomes are all integer numbers between 1 and 1t] and we performed rt 2 1000 trials. b. Simulate n independent trials of the multinoulii (categorical distribution] compliant to the specification of [a]. Plot the probability in (a) as a function of n independent trials (n=11D). Write your conclusions with respect to the behayior of the estimated probability as it. increases. NOTE: Submit this exercise in a colab notebook with permissions set to the professor and grader to be able to view