Math 381 Review for Test 1
The following is a list of topics for Test 1, along with some suggested practice examples.
These examples are not meant to be a blueprint for the test anything covered in class or
in the homework is fair game.
Chapter 1
Sample
Math 381 Review for Final
Here is a summary of the topics since the 3rd test, plus some practice problems for the final.
Moment generating function of a sum of independent random variables.
For independent random variables X1 , X2 , . . . , Xn ,
MX1 +X2
Some practice problems.
1. A six-sided die is rolled 10 times.
(a) Find the probability that the first 4 rolls are all different.
6543
64
(b) Find the probability that there are exactly 3 sixes in the 10 rolls.
Binomial distribution:
10
3
(1/6)3 (5/6)7
(c
Math 381 Test 2
You may use this test paper only, no other materials or technology. Be neat, show all work,
and circle your final answers. Correct answers without supporting work may lose points.
You can leave answers in terms of factorials or binomial co
Math 381 Test 3
Clearly show all work. You can use a blank Maple worksheet, a calculator, and the attached
normal and distribution tables. You can use Maple or a calculator to integrate, so you dont
have to show integration steps, but other than that make
Math 381 Test 1
Be neat, show all work, and circle your final answers. Answers without justification will lose
points all answers must contain explanatory text and not just numerical values
for full credit. You can leave answers in terms of factorials or
Math 381 Review for Test 3
The following is a list of topics for Test 3. As always, anything covered in class or homework
is fair game. You can use a calculator and a blank Maple worksheet. The standard normal
distribution table and the table of distribut
Math 381 Review for Test 2
The following is a list of topics for Test 2. As always, anything covered in class or homework
is fair game. This test will be without technology.
Section 3.5
Independence. Two events A and B are independent if
P (A|B) = P (A)