STA113: Probability and Statistics in Engineering

Homework #6

Due: Friday, Mar 13

1. For some unknown number a the random variables X_1...X_n are independent, all with density function f(x)=a x^(a-1) on the interval 0<x<1. Find the MLE for the parameter a if we observe n=4 data points x=0.20, 0.90, 0.80, 0.90.
2. Problem 8.33,page 378
3. Problem 8.34,page 379
4. Problem 8.40,page 385 (Use Minitab)
5. Problem 8.50,page 390
6. Problem 8.72,page 409
7. Problem 8.85,page 415

Optional Exercise: None this week.