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ADMS 2320: TERM TEST #2 PREP · Winter 2025

CHAPTER LESSONS - FREE
Chapter 5: Data Collection And Sampling
5 Topics | 1 Quiz
Introduction to Data Collection and Sampling
Data Collection
Sampling
Types of Samples
Types of Errors
Chapter 05 Quiz
Chapter 7.1: Random Variables and Discrete Probability Distributions
12 Topics | 1 Quiz
Discrete Variables vs. Continuous Variables
Relative Frequencies + Discrete Variables (Q1a)
Requirements for a Distribution of a Discrete Random Variable (Q1a)
Population Mean = Expected Value E(X) (Q1b)
Population Variance V(X) and Standard Deviation (Q1c-d)
Variance | The Shortcut Formula
Probability Trees and Discrete Variables (Q2a)
Discrete Probabilities (Q2b-c)
Expected Value (Q2d)
Variance of X (2e)
Laws of Expected Value (Q2f)
Probability Tree (Q3)
Chapter 07.1 Quiz
Chapter 8.1: Probability Density Functions
3 Topics
Probability Density Functions
Uniform Distributions
Uniform Distribution – Example
CHAPTER LESSONS - PREMIUM CONTENT
Chapter 7.4: Binomial Distribution
6 Topics | 1 Quiz
The Binomial Experiment
The Binomial Probability Distribution (The Formula)
Using Binomial Tables
10 | Binomial Probability
11 | More Binomial
12 | Even More Binomial
Chapter 07.4 Quiz
Chapter 8.2: Normal Distribution
4 Topics | 1 Quiz
Normal Distribution – Question #1 and #2
Normal Distribution – Question #3
Normal Distribution – Question #4
Normal Distribution – Question #5
Chapter 08 Quiz
Chapter 9: Sampling Distributions
6 Topics | 1 Quiz
Introduction to Sampling Distributions
1 | Distribution of One Sample Mean
2 | Comparing Chapters 9 and 8
3 | Probability of a Sample Mean
4 | Binomial vs Sample Proportions
Comparing Two Populations
Chapter 09 Quiz
Chapter 10: Introduction to Estimation
8 Topics | 1 Quiz
Introduction to Estimation
Point Estimators
Confidence Interval Estimate of the Mean (Q1)
Quick Reference Table
Interpreting Confidence Intervals (Q2a–b)
Confidence Interval Width vs. Confidence Level (Q2c–d)
Confidence Interval Width vs. Sample Size, Standard Deviation, and Mean (Q2e–i)
Sample Size Determination (Q3)
Chapter 10 Quiz
PAST TESTS + SOLUTIONS FREE
Term Test #2 – Fall 2022 – Sample
3 Topics
Q1a) Ch8: Normal Distribution: Convert x → z → area « FREE SAMPLE
Q1b) Ch8: Normal Distribution: Convert x → z → area « FREE SAMPLE
Unlock ALL Past Term Test 2’s
PAST TESTS + SOLUTIONS - PREMIUM CONTENT
Term Test #2 – Fall 2022
14 Topics
Q1a) Ch8: Normal Distribution: Convert x → z → area
Q1b) Ch8: Normal Distribution: Convert x → z → area
Q1c) Ch8: Uniform Distribution
Q1d) Ch8: Normal Distribution: Convert area → z → x
Q2a) Ch9: Normal Distribution: Convert x̄ → z → area
Q2b) Ch9: Normal Distribution: Convert p̂ → z → area
Q2c) Ch9: Normal Distribution: Convert (x̄1-x̄2) → z → area
Q2d) Ch10: Estimation: Interpretation
Q3a) Ch7.4: Binomial: Table
Q3b) Ch7.4: Binomial: Table
Q3c) Ch7.4: Binomial: Expected value, Binomial: Variance
Q3d) Ch7.4: Binomial: Laws of Variance
Q3e) Ch7.4: Binomial: Laws of Expected Value
Q3f) Ch7.4: Binomial: Formula
Term Test #2 – Winter 2021
12 Topics
Q1) Ch7.4: Binomial Setting
Q1a) Ch7.4: Binomial: Formula
Q1b) Ch7.4: Binomial: Mean, Binomial: Variance
Q1c) Ch7.4: Binomial: Table
Q1d) Ch7.4: Binomial: Table
Q2a) Ch8: Normal Distribution: Convert x → z → area
Q2b) Ch8: Normal Distribution: Convert area → z → x → μ
Q2c) Ch9: Normal Distribution: Convert p̂ → z → area
Q2d) Ch9: Normal Distribution: Convert (x̄1-x̄2) → z → area
Q3a)b) Ch8: Uniform Distribution
Q3c) Ch10: Estimation: Minimum Sample Size
Q3d) Ch10: Estimation: Bound on the Error
Term Test #2 – Winter 2018
12 Topics
Q1a) Ch8: Uniform Distribution
Q1b) Ch8: Uniform Distribution
Q1c) Ch8: Continuous Distribution: Theory
Q1d) Ch8: Uniform Distribution
Q1e) Ch7.4: Binomial: Table
Q1f) Ch7.4: Binomial: Table, Binomial: Formula
Q1g) Ch9: Normal Distribution: Convert p̂ → z → area
Q2a) Ch8: Normal Distribution: Convert x → z → area
Q2b) Ch9: Normal Distribution: Convert x̄ → z → area
Q2c) Ch8: Normal Distribution: Convert area → z → x
Q2d) Ch9: Normal Distribution: Convert (x̄1-x̄2) → z → area
Q2e) Ch8: Normal Distribution: Convert x → z → area, Binomial: Formula
Term Test #2 – Fall 2017
15 Topics
Q1) Setup: Ch7.4: Binomial: Identification
Q1a) Ch7.4: Binomial: Table
Q1b) Ch7.4: Binomial: Table
Q1c) Ch7.4: Binomial: Table
Q1d) Ch7.4: Binomial: Theory, Ch6 Probability
Q1e) Ch7.4: Binomial: Formula
Q1f) Ch7.4: Binomial: Expected Value
Q1g) Ch7.4: Binomial: Variance
Q1h) Ch7.4: Binomial: Formula
Q2) Setup
Q2a) Ch8: Normal Distribution: Convert x → z → area
Q2b) Ch9: Normal Distribution: Convert x̄ → z → area
Q2c) Ch8: Normal Distribution: Convert area → z → x
Q2d) Ch9: Normal Distribution: Convert (x̄1-x̄2) → z → area
Q2e) Ch7.4: Binomial: Formula
Term Test #2 – Fall 2016
14 Topics
Q1) Setup
Q1a) Ch7.4 Binomial: Mean
Q1b) Ch7.4 Binomial: Variance
Q1c) Ch4 Standard Deviation
Q1d) Ch7.4 Binomial: Formula
Q1e) Ch7.4 Binomial: Formula
Q1f) Ch7.4 Binomial: Formula
Q1g) Ch7.4 Binomial: Table
Q1h) Ch7.4 Binomial: Table
Q2a) Ch9: Central Limit Theorem
Q2b) Ch9: Variance of x̄
Q2c) Ch9 Normal Distribution: Convert x̄ → z → area
Q2d) Ch10 Confidence Interval Estimate of x̄
Q2e) Ch10 Estimation: Minimum Sample Size
Term Test #2 – Archive | Extra Chapter #7 Questions
5 Topics
Exam A – Binomial – 5 Questions
Exam B – Binomial – 4 Questions
Exam C – Random Variables and Probability Distributions – 4 Questions
Exam D – Binomial – 4 Questions
Exam E – Binomial – 5 Questions
Term Test #2 – Archive | Extra Chapter #8 Questions
4 Topics
Exam G – Normal Distribution – 4 Questions
Exam H – Normal Distribution – 3 Questions
Exam I – Normal Distribution – 1 Question
Exam J – Normal Distribution, Ch.9 Sampling Distribution of the Mean – 4 Questions
Term Test #2 – Archive | Extra Chapter #9 Questions
3 Topics
Exam K – Sampling Distribution of the Mean – 4 Questions
Exam L – Central Limit Theorem – 1 Question
Exam M – Sampling Distribution of a Proportion – 5 Questions
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Variance | The Shortcut Formula

ADMS 2320: TERM TEST #2 PREP · Winter 2025 Chapter 7.1: Random Variables and Discrete Probability Distributions Variance | The Shortcut Formula
Download the PDF: Chapter 7.1 Questions

It’s not much of a shortcut, but some exams will ask you specifically to use the shortcut formula, so I demonstrate it here using the same data from question 1c)

Shortcut Variance formula for discrete random variables is:

Variance of X:

NOTE: Whether you use this formula or the regular variance formula is up to you – They give the EXACT same results.

Test your understanding:

  1. Question 1 of 1

    Let X = number of prior convictions for prisoners at a state prison at which there are 500 prisoners. (x=0,1,2,3,4)

    What is the value of the variance for the prior convictions data?

    • 1.
    • 2.
    • 3.
    • 4.
    • 5.

Chapter 7.1 Questions

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