Are the questions aligned with the ASQ CSSGB Body of Knowledge?

Yes. Each question is written around topics included in the published CSSGB Body of Knowledge and is tagged to the relevant BoK area. These are original practice questions and are not copied from the actual ASQ exam.

In Review Mode, you receive the correct answer and explanation immediately after answering each question. It is designed for learning, not just scoring, so you can correct misunderstandings before moving to the next question.

Does the quiz include calculations?

Yes. The free set includes a balanced mix of conceptual questions, applied scenarios and short calculations. The goal is to help you experience several common CSSGB question styles.

What is included in the full CSSGB practice-question package?

The complete package provides additional CSSGB -style practice sets with broader Body of Knowledge coverage, detailed explanations and more opportunities to work on calculations, scenarios and commonly confused concepts.

Does purchasing the practice tests include the ASQ examination?

No. These are independent exam-preparation materials. Registration, eligibility review and the official certification examination are handled separately by ASQ.

CSSGB Probability and Distributions Practice Quiz

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Free sample questions

2 questions from this set, shown in full with the correct answer and the reasoning behind it. Read them as a study resource.

Q1.Shift and rework status were recorded for every unit produced last month, and the joint probabilities are shown below.

$\begin{array}{l|c|c|c} \hline & \textbf{Rework} & \textbf{No rework} & \textbf{Total} \\ \hline \text{Day} & 0.12 & 0.38 & 0.50 \\ \text{Night} & 0.18 & 0.32 & 0.50 \\ \hline \textbf{Total} & 0.30 & 0.70 & 1.00 \\ \hline \end{array}$

What is the probability that a randomly selected unit came from the night shift or required rework?
- A. $0.80$
- B. $0.18$
- C. $0.68$
- D. $0.62$ ✓ Correct answer
Explanation
Night shift and rework can happen to the same unit, so the events are not mutually exclusive and the general additive rule applies:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.50 + 0.30 - 0.18 = 0.62$

$0.80$ is the primary foil and comes from the simple additive rule reserved for mutually exclusive events, which counts the 0.18 of night shift rework units twice. $0.68$ subtracts the wrong cell, the day shift overlap. Exam tip: the word or in a stem should send you looking for the overlap first, and the simple form is safe only when the stem makes the events impossible to combine.
Reference: CSSGB BoK III
Q2.A green belt has proposed a distribution for each of four situations.

$\begin{array}{c|l|l} \hline \textbf{Row} & \textbf{Situation} & \textbf{Proposed distribution} \\ \hline 1 & \text{Scratches per painted door} & \text{Poisson} \\ 2 & \text{Defective bolts in a box of 50} & \text{Binomial} \\ 3 & \text{Ratio of two sample variances} & \text{Chi square} \\ 4 & \text{Fill volume of a bottle in mL} & \text{Normal} \\ \hline \end{array}$

Which row carries the wrong distribution?
- A.Row 1
- B.Row 2
- C.Row 3✓ Correct answer
- D.Row 4
Explanation
A ratio of two variance estimates follows the $F$ distribution, which is the whole reason a variance comparison is called an F test. Chi square is the near neighbour and applies when one sample variance is judged against a single stated standard value, so the two are separated by whether the second quantity is another sample or a fixed constant. The other three rows are matched correctly: defects per unit of area are Poisson, defective items out of a fixed 50 are binomial, and a measured volume is continuous.
Reference: CSSGB BoK III

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25 exam-style CSSGB questions focused on Probability and Distributions
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Strengthen Your Understanding of Probability and Distributions

Preparing for the ASQ Certified Six Sigma Green Belt exam?

This paid 25-question practice quiz focuses specifically on Probability and Distributions within the CSSGB Body of Knowledge.

The questions include a practical mix of:

Basic probability concepts and rules
Independent and dependent events
Conditional probability
Addition and multiplication rules
Permutations and combinations
Sampling distributions and the central limit theorem
Standard error of the mean
Binomial and Poisson distributions
Normal, t, chi-square, and F distributions
Selecting the correct probability distribution for a situation
Degrees of freedom
Bayes-type probability questions
Discrete versus continuous distributions
Workplace scenarios and short calculations

Learn from Every Question

This quiz is offered in Review Mode, so you will see the correct answer and a clear explanation immediately after each response.

Each explanation helps you understand:

Why the correct answer is right
Which probability or distribution concept is being tested
Why the other options are less appropriate
How to select the correct probability rule or distribution
How these concepts may appear in a CSSGB-style question

The goal is not simply to check your score. It is to help you understand how probability concepts and statistical distributions are applied in Six Sigma analysis.

Part of the Paid CSSGB Practice Package

This 25-question quiz is included in the complete CSSGB Practice Test Package.

Use it to:

Strengthen your understanding of probability concepts
Practise conditional, joint, and independent probability calculations
Improve your understanding of sampling distributions and standard error
Learn when to use binomial, Poisson, normal, t, chi-square, and F distributions
Practise degrees-of-freedom and distribution-selection questions
Identify gaps in your statistical knowledge
Improve your confidence before the CSSGB exam

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What this quiz covers

Overview: Six Sigma and the Organization

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CSSGB - 5. Probability and Distributions