2. Marta is interested in estimating the true longest time a human can hold their breath underwater. To that end, she collects arandom sample of 12 professional swimmers and records the times (in minutes) they are able to hold their breaths underwater. Her observed data is as follows: y = (24.0, 12.0, 173, 26.8, 9.1, 3.2, 5.0, 16.0, 7.8, 4.0, 26.0, 3.7) Additionally, she decides to model the time that a randomly-selected personis able to hold their breath underwater as uniformly distributed on the interval [0, #] where 6 > 0 denotes the true longest time a person can hold their breath underwater. (a) Provide a numerical estimate for @ using the method of moments. Because we already derived the method of moments estimator in lecture, you do not need to re-derive it - you may simply plugin the data provided. (b) Provide a numerical estimate for @ using maximum likelihood estimation. Because we already derived the maximum likelihood estimator in lecture, you do not need to re-derive it - you may simply plug in the data provided. (c) Giventhe context of the problem, which of the two estimates above (in parts (a) and (b)) is better? (Yes, there is a correct answer for this part!)