2. Multiple Choice Bookmark this page Midterm due Nov 23, 2022 19:59 HKT (a) 1 point possible (graded, results hidden) Let X1, ..., Xn ~ X be n i.i.d random variables. To test if they follow a Gaussian distribution, (i.e. if their distribution belongs to the Gaussian family with some unknown mean and unknown variance), you can use... (Check any that apply.) (Choose all that apply.) The Kolmogorov-Smirnov test The Kolmogorov-Lilliefors test A normal QQ-test Student T-test(b) 1 point possible {graded results hidden) The maximum likelihood estimator is ALWAYS unbiased. {c} 1 point possible {graded results hidden) 1 Let X be a random variable with pdf f(x) = e_|'\"3| 2 , a: E R. The median of X minimizes which of the following functions? [The notation rmHart2 denotes the function that takes input m and gives output m2 functions.) , and similarly for other output [Choose all that apply} l7 mI} '1[[X m Drier>41 Xm| D irirtni-\"m'1 D mv>Var(Xm)