Suppose XL, X2, , Xn be an iid random sample. of size n from a population and it's probability density filnction given by for O < x < 1 > O, (a) (2 points) In statistics, what is sufficiency? Fxplain in formal mathematical t,crms, and, in colloquial terms. Answer succinctly and concisely (b) (6 points) Suppose the pararneter is known arid can be treated as a constant. Show is a sufficient for 0. (c) (6 points) Suppose the parameter is known and can be treated as a constant. Show x,) is a sufficient for '3. Suppose XL, X2, , Xn be an iid random sample. of size n from a population and it's probability density filnction given by for O < x < 1 > O, (a) (2 points) In statistics, what is sufficiency? Fxplain in formal mathematical t,crms, and, in colloquial terms. Answer succinctly and concisely (b) (6 points) Suppose the pararneter is known arid can be treated as a constant. Show is a sufficient for 0. (c) (6 points) Suppose the parameter is known and can be treated as a constant. Show x,) is a sufficient for '3.