Define a random variable X as the proportion of total time allowed on a test that a student actually spends on the test. Research suggests that the pdf of X is f(x) = ( + 1)x , 0 x 1. For the parameter , we know > 1, but its exactly value is unknown. To estimate the parameter, a random sample of 10 students is obtained, and their proportions of the total allowed time on the test are: 0.90, 0.60, 0.84, 0.97, 0.47, 0.47, 0.67, 0.65, 0.70, 0.59. Find the Maximum Likelihood Estimator (MLE) of . Enter your answer to 3 decimal places.

If you can show how to set this up in R, please do so. Thank you!