ECE 514, Fall 2007
Exam 1: Due 12:30pm in class, September 27, 2007
Solutions (version: September 25, 2007, 10:55) 1. (12 pts.) a. Consider a sample space . Suppose C1 and C2 are collections of subsets of such that C1 C2 . Show that (C1 ) (C2 ). b. Let C
ECE 514, Fall 2007
Exam 1: Due 12:30pm in class, September 27, 2007
Name: 1. (12 pts.) a. Consider a sample space . Suppose C1 and C2 are collections of subsets of such that C1 C2 . Show that (C1 ) (C2 ). b. Let C be the collection of all closed intervals
ECE 514, Fall 2007
Exam 2: Due 12:30pm at ECE front ofce, October 25, 2007
Solutions (version: October 25, 2007, 21:11) 1. (14 pts.) Consider three real random variables X , Y , and Z . a. Suppose that Z = X 2 + Y 2 and that X and Y have a joint density t
ECE 514, Fall 2007
Exam 2: Due 12:30pm at ECE front ofce, October 25, 2007
Name: 1. (14 pts.) Consider three real random variables X , Y , and Z . a. Suppose that Z = X 2 + Y 2 and that X and Y have a joint density that is uniform on the region cfw_[x, y
ECE 514, Fall 2007
Exam 3: Due ECE front desk, 3:00pm, December 7, 2007
Name: 75 mins.; Total 50 pts.
1. (15 pts.) Suppose we wish to estimate a quantity represented by a real-valued random variable 2 X with mean m and variance X . For this estimation, we