YOUR NAME:
Midterm 2 (Stor 435)
November 13, 2006 The midterm has 10 problems. Each problem is worth 3 points. Show all the work and write in the space provided. If more space is needed, write on the back of the pages. Problem 1. Consider the following ex

STOR 435
Handout 7
Sections 4.4-4.6 Example 1 (Example 4a; Functions of a random variable). X is a random variable with P(X = 1) = .2, P(X = 0) = .5 and P(X = 1) = .3. What is E(X 2 )? What is E(X 2 )? Example 2 (Example 4b; Functions of a random variable

STOR 435
Handout 8
Sections 4.7-4.9 Note that we will be covering selected topics from these sections. The pages we will be covering are: Section 4.7: 143-146; Section 4.8: 155-157; 160-163; Section 4.9. Example 1 (Exercise 4.58 (c); Poisson distribution)

STOR 435
Handout 9
Sections 5.1-5.3
Example 1 (Example 1a; Continuous rv). Suppose X is a random variable whose pdf is given by f (x) = 1. Find C 2. What is P(X > 1)? 3. What is P(X = 1)? Example 2 (Example 1c; Continuous rv). The lifetime in hours of a p

STOR 435
Handout 10
Sections 5.4-5.5 Example 1 (Basic properties of Normal distribution). 1. Let X be the score of a randomly picked student who took the SAT in 2003. Data suggests that this random variable has a N (1026, 209). One often computes the stan

STOR 435
Handout 12
Sections 6.1 Example 1 (Exercise 6.1.a, Joint dist, Discrete). Two fair dice are rolled. Find the joint probability mass function of X and Y when X is the largest value obtained on any die and Y is the sum of the values Example 2 (Exer

STOR 435
Handout 11
Sections 5.5, 5.6.1, 5.7
Example 1 (Exponential rv). Let > 0. If X has exponential distribution with rate calculate E(X ), var (X ). Example 2 (Exercise 5.32; Exponential rv). The time ( in hours) required to repair a machine is an exp

STOR 435
Handout 6
Sections 4.1-4.3 These are examples that we will do when trying to understand Chapter 4. Example 1 (Discrete random variables). A coin has P(H ) = 2/3, P(T ) = 1/3 You toss the coin twice. Let X be the number of heads you observe. Calcu

YOUR NAME:
Midterm 2 (Stor 435)
November 8, 2007
The midterm has 10 problems. Each problem is worth 3 points. Show all the work and write in the space provided. If more space is needed, write on the back of the pages. Problem 1. Three balls are randomly c