Question: #3 - Define a random variable X as the proportion of time allowed on a test that a student spends on a certain question on

#3 - Define a random variable X as the proportion of time allowed on a test that a student spends on a certain question on an exam. The pdf of X is f(x|) = x-1, 0 < x < 1, >0. To estimate the parameter, a random sample of students is obtained: 0.33, 0.19, 0.29, 0.23, 0.38, 0.41, 0.18, 0.36, 0.12, 0.33, 0.28,0.46, 0.47, 0.30, 0.10. Find the Maximum Likelihood Estimator (MLE) of . Enter your answer to 3 decimal place.

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