can you please help with mathematical statistic question attached below? part(c)

Let Y1, ..., Yn denote a random sample of size n from the pdf 1 1-e f(y; 0) = -y e I(0,1) (y), 0>0 (a) Find the Method of the Moment (MOM) estimator (call this MOM) of 0. (b) By Delta Method, show that MOM has an approximate normal distribution and state the mean and its asymptotic standard deviation. Then state for what value(s) of 0 this result does not hold. (c) Find the MLE and drive the CRLB of 0. Is the MLE efficient estimator of 0