Statistics 861-1: Theory of Probability and Statistics I Fall Semester, 2008 Time: Place: Instructor: Oce: Telephone: E-Mail: Website: M W F 9:1010:00 C103 Wells Hall Chae Young Lim A-426 Wells Hall 353-7154 lim@stt.msu.edu please log on angel.msu.edu and

STT 861: Fall 2007 Midterm 1 1. Let A1 , A2 , , An be events dened on the same sample space. (a) Prove that P (A1 A2 ) P (A1 ) + P (A2 ) 1. (b) Prove that P (n Ai ) i=1
n i=1 P (Ai )
1
(n 1).
2. Suppose that events A1 , A2 , A3 and A4 are mutually indepe

STT 861: Theory of Probability and Statistics I
0 Introduction
According to Wikipedia, statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It has applications to a wide vari

STT 861 Homework 4 Solution
1. (2.13 in the Textbook)
1. (2.15 in the Textbook)
1. (2.20 in the Textbook)
2. (2.29 in the Textbook)
(a). Using the fact that the summation of Poisson pmf is 1, we have
(b) For Poisson distribution, it can be computed that (

STT 861 Homework 5 Solution
5. (3.2 in the Textbook)
(3.3 in the Textbook)
(3.10 in the Textbook)
3.10. (a) Let X be the number of cocaine packets in the first selection of 4 packets and Y be the number
of non-cocaine in the second selection of 2 packets.

STT 861 (Fall 2013) Exam 1, Oct 4, Friday
Name:
PID:
Problem 1 If P (A) = P (B ) = P (C ) = 0.25, P (AB c ) = 0.25 and P (BC ) = P (AC ) = 0.1, what is
the probability that at least one of A, B and C happen?.
[10pts]
Because P (AB ) = P (A) P (AB c ) = 0.