A Parametric Model for Rock Samples 2 points possible (graded) You are testing out a new scale that measures weights. To do so, you collect a particular rock and take 1:, measurements, using the same rock each time. Let X1- denote the ith measurement of a particular rock. Based on prior knowledge, you expect your data X1, . . . , Xn to consist of i.i.d. (independent and identically distributed) samples from a Gaussian distribution with unknown mean p, > 0. The scale that you are using to weigh the sample comes with a guarantee from the manufacturer that the variance of your data set will be 0.23. Given this information, your goal is to write down a statistical model (E, {P3}QEQ) for this statistical experiment. Which of the following is (are) (1) a formally valid statistical mode|(s)? (2) the statistical model that best incorporates all known information? (Choose all that apply.) D ((00100)3{N(Ha0-23)}p>o) D ((00100)3{N(Ha0-23)}p>o) El ((*OO,OO),{N(1L,O.23)}FLER) El ((*OO,OO),{N(1L,O.23)}FLER) |:| ((fOO-l 00) : {N(}L,0'2)}#102>0) |:| \"foo: 00) a {N (lu'! 02)}p,02>0) El ((00: 00)={N (1\"! 02)}peR,a2>0) CI ((00: 0):{N (#302)},uER,U2>0) Statistical Model for a Censored Exponential 1 point possible (graded) Let X denote an exponential random variable with unknown parameter A > 0. Let Y = 1(X > 5), the indicator that X is larger than 5. Recall the definition of the indicator function here is 1ifX>5 1(X>5)={0 ifX0) for some function f of A. What is f (A)? (Type lambda for A. Use the help button below for help with formula input). f0) = If I STANDARD NOTATION