Marion and Shreeya are arguing over which course they should take in Fall 2022. Marion's argument is that they should take CS-7650 NLP because Professor Roozbahani will teach it. Shreeya's argument is that they should take CS-7641 ML because it would be difficult to take NLP without having introductory knowledge of Machine Learning. To resolve this conflict, their other friend Nicole makes a proposition that they should leave it to chance to decide which course they should take. Marion then proposes that Shreeya will toss a 6 -sided die 6 times, and Shreeya must get anything except 3 during the first 5 times and must get 3 during the 6th time. Any other combination will make Marion the winner. But Shreeya is also allowed to tamper with the die in any manner she likes to increase her odds. Now, Shreeya needs you to help her have her way. If the probability of getting a 3 is and the probability of landing on 1 is double of that of landing on 2,4,5, and 6 , what value of is most likely to ensure that they will have to take CS-7641 ML? Use your expertise of Maximum Likelihood Estimation and probability distribution function to convince Shreeya. NOTE: You must specify the log-likelihood function and use MLE to solve this problem for full credit. You may assume that the log-likelihood function is concave for this