Suppose that two observations X1 and X2 are drawn at random from a uniform distribution with the following p.d.f.:

where the value of θ is unknown (θ > 0). Determine the M.L.E. of θ for each of the following pairs of observed values of X1 and X2:
a. X1 = 7 and X2 = 9
b. X1 = 4 and X2 = 9
c. X1 = 5 and X2 = 9

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for 0 < x < θ or 2θ < x < 30, f (x|θ) = 0 otherwise,