# Point Estimation in Statistics

22. Let X denote the proportion of alloted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is ...

a. Use method of moments to obtain an estimator ...

b. Obtain the maximum likelihood esitmator ...

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#### Solution Preview

(a) First, we find the expected value of f.

E(x) =

Using the method of moments, now we need to solve for in terms of E(x).

Or

Or

Therefore,

Now replacing E(x) by , the mean of a sample xi of ...

#### Solution Summary

The expert examines point estimation in statistics.

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