Using the pdf, how can I approach the three questions below? How are they connecteD?

Page 262 Use the following for questions 6, 7, and 8. Plumbing suppliers typically ship packages of plumbing supplies containing many different combinations of item such as pipes, sealants, and drains. Almost invariably a shipment contains one or more incorrectly filled items: a part may be defective, missing, not the type ordered, etc. In this context, the random variable of interest is the proportion X" of incorrectly filled items. A family of distributions for modeling the distribution of proportions has PDF f (x10 ) = 0x#-1 0 0. If X1. . ... X, is a random sample of proportions of incorrectly filled items, what is the the method of moments estimator of 0 ? (Here X = _ _._ X, ). O O OIn a sample of n = 5 shipments, the proportions of incorrectly filled items are 0.07, 0.33, 0.15, 0.25, and 0.17. What is the method of moments estimate of @ ? Give your answer to 2 decimal places.\f