Reading: HIV Testing
Background
At least since the 1980s, AIDS started becoming a serious public health concern. Such concern
triggered many government policies that aimed to control the spread of the disease. In June
1987, the U.S. Public Health Service

Problem Set 2
Random Variables
1. A die is loaded so that the probability of any side showing is proportional to the number
on that side. If the die is rolled and you win 1 dollar for every dot showing, what is the
probability distribution for X, the numb

Problem Set 2 Solutions
Random Variables
1. A die is loaded so that the probability of any side showing is proportional to the number
on that side. If the die is rolled and you win 1 dollar for every dot showing, what is the
probability distribution for X

Answers to Additional Practice Problems for Quiz 1
These additional problems are from an earlier edition of Groebner, et. al. unless otherwise specied.
Problem
Historically, on Christmas the weather in a certain Midwest city has occurred according to the

Sample Quiz 1
NAME: SECTION# LOCKER#
1. Which of the following statements are true/false? [No explanation needed]
a) If P(A) = 0.2, P(B) : 0.4 and A and B are independent P(AUB) = 0.6.
TRUE /
b) If X is a continuous random variable with probability dens

Class 1: news you can use
Fundamental probability facts: for any event A,
0 P A
1
P A
1 P A
P A
P B
P AB
P AB
Conditional probability formula:
P AB
P AB
P B
Two events A and B are independent if any of the
following holds:
P A
P AB
P BA
P B
P A P B
P AB
P

Sample Quiz 1
NAME:_ SECTION#_ LOCKER#_
1. Which of the following statements are true/false? [No explanation needed.]
a) If P(A) = 0.2, P(B) = 0.4 and A and B are independent P(AUB) = 0.6.
TRUE / FALSE
1 for any given
b) If X is a continuous random variab

sample Quiz 2
NAME: SECTION# LOCKER#
1. True or False
a. If X is a normally distributed random variable with mean 1/4 and standard deviation 1/4, then we have
thatP(X = 1/4) = 1/2.
TRUEéALSE)
b. The width of a conﬁdence interval for the population mean de

Class 1: news you can use
Fundamental probability facts: for any event A,
0 P A
1
P A
1 P A
P A
P B
P AB
P AB
Conditional probability formula:
P AB
P AB
P B
Two events A and B are independent if any of the
following holds:
P A
P AB
P BA
P B
P A P B
P AB
P

Sample Quiz 2
NAME:
SECTION#
LOCKER#
1. True or False
a. If X is a normally distributed random variable with mean 1/4 and standard deviation 1/4, then we have
that ( = 1/4) = 1/2.
TRUE/FALSE
b. The width of a confidence interval for the population mean de

Answers to Additional Practice Problems for Quiz 2
These additional problems are from Groebner, et. al. unless otherwise specied.
Problem
Micron Electronics makes both desktop and laptop personal computers that they sell directly
to customers by phone or

Class 2
Random Variables
Decision 610: Probability and Statistics
HIV testing reading discussion
Random variables
Review for Quiz 1 (problem solving)
Reading solutions: HIV testing
Class 2 Random Variables
Random variables (RVs)
So far, basic events usual