(9 points) Suppose f(x)=(6w)x5w, 0

(a) Which of the following is the likelihood function L(w)=i=1nf(xi)L(w)=i=1nf(xi)? A. L(w)=n(6w)(x1x2xn)5wL(w)=n(6w)(x1x2xn)5w B. L(w)=(6w)n(x1x2xn)n(5w)L(w)=(6w)n(x1x2xn)n(5w) C. L(w)=(6w)n(x1x2xn)5wL(w)=(6w)n(x1x2xn)5w D. L(w)=n(6w)(x1+x2++xn)5wL(w)=n(6w)(x1+x2++xn)5w E. L(w)=(6w)n(x1+x2++xn)5wL(w)=(6w)n(x1+x2++xn)5w F. none of the above

(b) Which of the following is the maximum likelihood estimator for ww? A. w^=6nln(x1+x2++xn)w^=6nln(x1+x2++xn) B. w^=6+nlnx1lnx2++lnxnw^=6+nlnx1lnx2++lnxn C. w^=6+nln(x1x2xn)w^=6+nln(x1x2xn) D. w^=ln(x1x2xn)n6w^=ln(x1x2xn)n6 E. none of the above

(c) Find the maximum likelihood estimate for ww based on the data below:

0.1,0.55,0.85,0.8,0.80.1,0.55,0.85,0.8,0.8

w^=w^= Round your answer to 3 decimal places.