Department of Mathematics and Statistics
STAT 349 Midterm Exam Fall 2006
Please print your name and your student ID number on the exam booklet.
1. (14 points) A miner is trapped in a mine containing 3 doors. The 1st door leads to a
STAT 349 Midterm Exam I Sample
1. Let the probability density function of X be given by
c(5x 2x3 ), 0 < x < 3 ,
f (x) =
(a) What is the value of c?
(b) P cfw_ 1 < X < 1 =?
2. A coin that comes up heads with probability p, 0 < p < 1, is c
STAT 349 (Fall 2015): Sample Midterm Questions
(1) X and Y are two independent Binomial random variables with X Bin(m, p)
and Y Bin(n, p). Find the distribution of X + Y .
Solution A: The moment generating function for X and Y are (pet + q)m and
(pet + q)
Department of Mathematics & Statistics
A. Sen, W. Sun
Show your work in sucient detail and clearly identify your answ