MLE of uniforms question:

1. MLE of uniforms. Suppose that X1,...,X iris Uniform9,9], where I9 E (ll,oo) is an unknown parameter. (a) Calculate the family of densities, x I 9], and the likelihood of the data, 1]:- f{X=- | .9). (b) Find the MLE . (o) Fix some E E [I], 1]. Calculate P[ at (199), the probabilityr that 153 is a substantial underestimate of 3. (d) Fix some E E [0, 1}. Calculate P(@ :> (1 + 5:13), the probability that g is a substantial overestimate of 3