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

Yes. Each question is written around topics included in the published CQE 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 CQE question styles.

Is my score on this quiz enough to determine whether I am ready?

No single 20-question quiz can confirm full exam readiness. Use it as an initial diagnostic, then assess yourself across larger question sets covering the complete Body of Knowledge.

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

The complete package provides additional CQE-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.

Try before you buy

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.A repair shop receives an average of 2 warranty claims per day.

What is the probability of receiving no more than one claim on a given day?
- A.0.406✓ Correct answer
- B.0.271
- C.0.135
- D.0.594
Explanation
Because warranty claims are count data occurring over a fixed period, the Poisson distribution is appropriate. “No more than one claim” means either zero claims or one claim, so calculate and add both probabilities using $\lambda = 2$ :

$P(X = 0) = \frac{e^{-2}2^0}{0!} = 0.1353$

$P(X = 1) = \frac{e^{-2}2^1}{1!} = 0.2707$

Therefore,

$P(X \le 1) = P(X = 0) + P(X = 1)$

$P(X \le 1) = 0.1353 + 0.2707 = 0.4060$

So, the probability of receiving no more than one warranty claim on a given day is approximately $0.406$ , or $40.6\%$ .

The value $0.2707$ is $P(X = 1)$ alone, $0.1353$ is $P(X = 0)$ alone, and $0.5940$ is the complement, $P(X > 1)$ , representing two or more claims.
Reference: CQE BoK VI
Q2.Two identical components each with reliability 0.90 are placed in active parallel redundancy.

What is the system reliability?
- A.0.81
- B.0.90
- C.1.80
- D.0.99✓ Correct answer
Explanation
A parallel system fails only if both components fail:

$R_s = 1 - (1 - 0.90)^2 = 1 - 0.01 = 0.99$

The value 0.81 is the series result, which is the arrangement that multiplies reliabilities rather than unreliabilities.
Reference: CQE BoK VI

Want the other 23 questions in CQE Practice Questions (Review Mode) - 6. Probability Distributions?

What you get

How well do you understand Probability Distributions?

25 exam-style CQE questions focused on Probability Distributions
Full explanation for every question
Mobile friendly, no install required
Instant feedback as you answer

Strengthen Your Understanding of Probability Distributions

Preparing for the ASQ Certified Quality Engineer exam?

This paid 25-question practice quiz focuses specifically on Probability Distributions, an important topic within the CQE Body of Knowledge.

The questions include a practical mix of:

Normal distribution
Binomial distribution
Poisson distribution
Exponential distribution
Weibull distribution
Mean, variance, and standard deviation
Selecting the appropriate distribution
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-distribution concept is being tested
Why the other options are less appropriate
How the concept may appear in a CQE-style question

The goal is not simply to check your score. It is to help you understand how probability distributions are selected, interpreted, and applied in quality engineering.

Part of the Paid CQE Practice Package

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

Use it to:

Strengthen your understanding of probability distributions
Identify gaps in selecting and interpreting distributions
Practise calculations and decision-making
Improve your confidence before the CQE exam
Learn from detailed explanations as you progress

Ready to Test Your Probability Distribution Knowledge?

Complete the 25-question Review Mode quiz and use every incorrect answer as a guide for further study.

Start the Probability Distributions Practice Quiz

What this quiz covers

Quantitative Methods and Tools

Questions about this practice test

Want the full course, not just the questions?

Quality Gurus video courses cover the whole body of knowledge with worked examples, templates and downloadable notes — taught by Sandeep Kumar.

Browse Quality Gurus courses

CQE Practice Questions (Review Mode) - 6. Probability Distributions

Free sample questions

Q1.A repair shop receives an average of 2 warranty claims per day.What is the probability of receiving no more than one claim on a given day?

Explanation

Q2.Two identical components each with reliability 0.90 are placed in active parallel redundancy.What is the system reliability?