1. Let X be a random variable and its probability density function (pdf) is f(x) = 0x-1; 0

1. Let X be a random variable and its probability density function (pdf) is f (x) = Oxol; O < x < 1. iv. Compute the Cramr-Row lower bound for unbiased estimators of 9. v. Find the asymptotic normal distribution for the maximum likelihood estima- tor of 9. vi. Write down the formula for the 95% asymptotic confidence interval for 9. (d) Assuming an estimate of 6 is = 2, find an approximation to the probability P(XI 1.85 x 10-5). Express your answer using the N (O, 1) cdf q:c).