In a given subject, if we take a student at random, their final grade X is appropriately modelled by a random variable with density: 6 291 fx($)=1 6mm, 0<:1: where is a parameter. note that g so grade :1:="1/2" corresponds to comment: fx may appear scary but it just polynomial. pt what the distribution of x in specific case you should specify name this distribution. if we specifically have probability student achieves hd mark or more subject show e from sample x1 . stemming consider esti- mator xi. explain why estimator sensible choice estimate use at least two distinct arguments. xn students grades want test hypothesis: ho:0="1/2" v.s. h1:6 previous question as statistic. logic behind such choice. observe n="16" with mean :2="0.38" information conduct hypothesis stated level significance must include numerical computation p-value and your final decision. can normally distributed also var>