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(a) Let X1,X2,...,X_ be a random sample from a uniform distribution with interval (91,0+1). (i) (ii) (iii) (iV) Find the method of moments estimator of 9. (2 marks) Show whether the estimator found in part (a)(i) is an unbiased estimator of 6'. (I mark) Given the following ve observations of X, compute the value of point estimate of 6. 6.61 7.70 6.98 8.36 7.26 (1 mark) 0 \" X\") + X0\" . . . . . Given that 9, = 2 1s a mammum likelihood estimator of 9. State ONE reason why maximum likelihood estimator is preferable than method of moments estimator. Calculate the value of the 62 using the dataset in part (a) (in).