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ASQ CQE Exam - Topic 1 Question 117 Discussion

Actual exam question for ASQ's CQE exam
Question #: 117
Topic #: 1
[All CQE Questions]

A process produces rejects at a rate of 6 o. If multiple samples of 5 are drawn from a population of 100.000. what is the expected number of rejects per sample?

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Suggested Answer: A

The expected number of rejects per sample can be calculated using the reject rate and the sample size. Given a reject rate of 6% (or 0.06) and a sample size of 5:

Expected number of rejects per sample = 0.06 * 5 = 0.3


Montgomery, D.C. (2009). Introduction to Statistical Quality Control. Wiley.

ASQ. (n.d.). Basic Quality Tools. Retrieved from https://asq.org/quality-resources/basic-quality-tools

by Mariann at Oct 18, 2025, 04:25 PM

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Rosenda
2 months ago
Sure! If rejects are 6%, then for 5 samples, it’s 0.3 rejects expected.
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Freeman
3 months ago
I’m confused! Can someone explain the reasoning behind A?
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Josphine
3 months ago
I’m leaning towards D) 6,000.0. It feels right with the numbers.
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Laila
4 months ago
I disagree, Lynsey. I think it’s B) 30.0.
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Lynsey
4 months ago
I feel like the answer is A) 0.3. It seems logical.
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Bette
4 months ago
Yup, B makes sense based on the math!
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Olen
4 months ago
Just to clarify, that's 6% of 5 samples, right?
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Rikki
4 months ago
Wait, 30? That seems way too high!
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Marilynn
4 months ago
Wow, these answers are all over the place. I'm starting to think some of my fellow test-takers need to brush up on their basic probability and statistics.
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Dottie
5 months ago
C) 5,000.0 is just ridiculous. The sample size is only 5, so the expected number of rejects can't be that high.
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Pamella
5 months ago
B) 30.0 is way off. The question is asking for the expected number of rejects per sample, not the total number of rejects.
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Alfred
5 months ago
A) 0.3 seems like the correct answer here. The process produces rejects at a rate of 6%, and with a sample size of 5 from a population of 100,000, the expected number of rejects per sample would be 0.3.
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Rosio
5 months ago
Totally agree, B is the right answer!
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Hyun
5 months ago
This question is tricky! I think I need to break it down.
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Vanesa
5 months ago
It's 30.0 rejects per sample.
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Reena
6 months ago
D) 6,000.0 is even more absurd than the previous answer. The process produces rejects at a rate of 6%, not 6,000%.
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Nana
6 months ago
Hmm, let me think this through step-by-step. The population size is 100,000, and the reject rate is 6%. So the total number of rejects in the population would be 6% of 100,000, which is 6,000. Then, since we're drawing samples of 5, the expected number of rejects per sample would be 6,000 / (100,000 / 5) = 0.3. I think that's the right approach.
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Norah
6 months ago
Wait, I'm a bit confused. If the process produces rejects at a rate of 6%, shouldn't the expected number of rejects be higher than 0.3? I'm not sure I'm understanding this correctly.
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Jess
6 months ago
I've got this! The expected number of rejects per sample is the rate of rejects (6%) multiplied by the sample size (5), which gives us 0.3. So the answer is A) 0.3.
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Arminda
7 months ago
Okay, let me see here. The process produces rejects at a rate of 6%, and we're drawing samples of 5 from a population of 100,000. I think I need to calculate the expected value, but I'm not sure how to approach this.
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Barbra
7 months ago
Hmm, this looks like a probability question. I'll need to think through the process carefully to determine the expected number of rejects per sample.
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Emelda
2 months ago
Yeah, option A seems correct!
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Danica
2 months ago
So, for a sample of 5, it should be 0.3 rejects, right?
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Latia
2 months ago
Right! If the rate is 6, we can find the expected rejects.
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Kristeen
2 months ago
I think we need to calculate the rejects based on the sample size.
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Vallie
7 months ago
I thought the total population mattered more, but I guess we're just looking at the sample size here? I need to double-check my calculations.
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Shasta
7 months ago
If we take 6% of 5, that seems like it would give us 0.3, but I feel like I might be missing something about the total population.
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Kenneth
7 months ago
I remember something about multiplying the reject rate by the sample size, but I'm not sure if I should convert the percentage first.
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Chantell
8 months ago
I think the reject rate of 6% means we need to calculate it based on the sample size of 5.
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