3. A certain kind of machines has a lifetime X (in hours) with pdf given by f(x;ß) = - 0, if x > 0 elsewhere a) What is the distribution of X. b) Let ß denote the MLE of ß. Suppose that three such...

Extracted text: 3. A certain kind of machines has a lifetime X (in hours) with pdf given by f(x;ß) = - 0, if x > 0 elsewhere a) What is the distribution of X. b) Let ß denote the MLE of ß. Suppose that three such machines, tested independently, had lifetimes of 120, 130, and 128 hours. Suppose that ß actually equals 128. What is the approximate bound that you might expect for the error of estimation.